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98732771872 = 25721131733221
BaseRepresentation
bin101101111110011101…
…1101000101000100000
3100102211212010111001121
41123330323220220200
53104201042144442
6113205053542024
710063455466600
oct1337473505040
9312755114047
1098732771872
1138966091929
12171754a4914
13940610a307
144ac8a30c00
15287cd6e967
hex16fcee8a20

98732771872 has 144 divisors (see below), whose sum is σ = 229506526872. Its totient is φ = 41684213760.

The previous prime is 98732771869. The next prime is 98732771881. The reversal of 98732771872 is 27817723789.

It can be written as a sum of positive squares in 4 ways, for example, as 88040384656 + 10692387216 = 296716^2 + 103404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98732771872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30651222 + ... + 30654442.

Almost surely, 298732771872 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 98732771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114753263436).

98732771872 is an abundant number, since it is smaller than the sum of its proper divisors (130773755000).

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

98732771872 is a wasteful number, since it uses less digits than its factorization.

98732771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3516 counting only the distinct ones).

The product of its digits is 16595712, while the sum is 61.

The spelling of 98732771872 in words is "ninety-eight billion, seven hundred thirty-two million, seven hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 173 196 224 226 346 392 452 692 784 791 904 1211 1384 1568 1582 1808 2422 2768 3164 3221 3616 4844 5536 5537 6328 6442 8477 9688 11074 12656 12884 16954 19376 19549 22148 22547 25312 25768 33908 38752 39098 44296 45094 51536 67816 78196 88592 90188 103072 135632 136843 156392 157829 177184 180376 271264 273686 312784 315658 360752 363973 547372 557233 625568 631316 721504 727946 957901 1094744 1114466 1262632 1455892 1915802 2189488 2228932 2525264 2547811 2911784 3831604 3900631 4378976 4457864 5050528 5095622 5823568 7663208 7801262 8915728 10191244 11647136 15326416 15602524 17831456 17834677 20382488 27304417 30652832 31205048 35669354 40764976 54608834 62410096 62967329 71338708 81529952 109217668 124820192 125934658 142677416 218435336 251869316 285354832 436870672 440771303 503738632 570709664 873741344 881542606 1007477264 1763085212 2014954528 3085399121 3526170424 6170798242 7052340848 12341596484 14104681696 24683192968 49366385936 98732771872