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67978813501032 = 233719202710506473
BaseRepresentation
bin11110111010011100011010…
…00001111110111001101000
322220200201012101122020222120
433131032031001332321220
532402231102224013112
6400325011422151240
720214210240613260
oct1735161501767150
9286621171566876
1067978813501032
111a729720021065
12775a8bb122520
132bc14b401c815
1412b02992b67a0
157cd441a2be8c
hex3dd38d07ee68

67978813501032 has 128 divisors (see below), whose sum is σ = 204548441011200. Its totient is φ = 18391201003008.

The previous prime is 67978813500919. The next prime is 67978813501087. The reversal of 67978813501032 is 23010531887976.

It is a happy number.

It is a super-2 number, since 2×679788135010322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216948 + ... + 11723420.

It is an arithmetic number, because the mean of its divisors is an integer number (1598034695400).

Almost surely, 267978813501032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67978813501032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102274220505600).

67978813501032 is an abundant number, since it is smaller than the sum of its proper divisors (136569627510168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67978813501032 is a wasteful number, since it uses less digits than its factorization.

67978813501032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508535 (or 10508531 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 67978813501032 in words is "sixty-seven trillion, nine hundred seventy-eight billion, eight hundred thirteen million, five hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 2027 3192 4054 6081 8108 12162 14189 16216 24324 28378 38513 42567 48648 56756 77026 85134 113512 115539 154052 170268 231078 269591 308104 340536 462156 539182 808773 924312 1078364 1617546 2156728 3235092 6470184 10506473 21012946 31519419 42025892 63038838 73545311 84051784 126077676 147090622 199622987 220635933 252155352 294181244 399245974 441271866 588362488 598868961 798491948 882543732 1197737922 1397360909 1596983896 1765087464 2395475844 2794721818 4192082727 4790951688 5589443636 8384165454 11178887272 16768330908 21296620771 33536661816 42593241542 63889862313 85186483084 127779724626 149076345397 170372966168 255559449252 298152690794 404635794649 447229036191 511118898504 596305381588 809271589298 894458072382 1192610763176 1213907383947 1618543178596 1788916144764 2427814767894 2832450562543 3237086357192 3577832289528 4855629535788 5664901125086 8497351687629 9711259071576 11329802250172 16994703375258 22659604500344 33989406750516 67978813501032