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71484700384 = 25471071133931
BaseRepresentation
bin100001010010011010…
…0011111011011100000
320211111220002000220201
41002210310133123200
52132400040403014
652501205114544
75110312633126
oct1024464373340
9224456060821
1071484700384
1128353282489
1211a300b8a54
136982c10aa6
143661c95916
151cd5b36e74
hex10a4d1f6e0

71484700384 has 96 divisors (see below), whose sum is σ = 146394210816. Its totient is φ = 34339522560.

The previous prime is 71484700381. The next prime is 71484700393. The reversal of 71484700384 is 48300748417.

It is a super-2 number, since 2×714847003842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71484700381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18182899 + ... + 18186829.

It is an arithmetic number, because the mean of its divisors is an integer number (1524939696).

Almost surely, 271484700384 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 71484700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73197105408).

71484700384 is an abundant number, since it is smaller than the sum of its proper divisors (74909510432).

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

71484700384 is a wasteful number, since it uses less digits than its factorization.

71484700384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 71484700384 in words is "seventy-one billion, four hundred eighty-four million, seven hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 94 107 113 188 214 226 376 428 452 752 856 904 1504 1712 1808 3424 3616 3931 5029 5311 7862 10058 10622 12091 15724 20116 21244 24182 31448 40232 42488 48364 62896 80464 84976 96728 125792 160928 169952 184757 193456 369514 386912 420617 444203 568277 739028 841234 888406 1136554 1478056 1682468 1776812 2273108 2956112 3364936 3553624 4546216 5912224 6729872 7107248 9092432 13459744 14214496 18184864 19768999 20877541 39537998 41755082 47529721 79075996 83510164 95059442 158151992 167020328 190118884 316303984 334040656 380237768 632607968 668081312 760475536 1520951072 2233896887 4467793774 8935587548 17871175096 35742350192 71484700384