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102837641016 = 233111393119011
BaseRepresentation
bin101111111000110011…
…0011101111100111000
3100211102221011102221010
41133301212131330320
53141102414003031
6115124251313520
710300261345245
oct1376146357470
9324387142833
10102837641016
113a682192870
1217b2014b8a0
13990b688876
144d97c825cc
152a1d40c246
hex17f199df38

102837641016 has 128 divisors (see below), whose sum is σ = 283423795200. Its totient is φ = 30835824000.

The previous prime is 102837640981. The next prime is 102837641083. The reversal of 102837641016 is 610146738201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11407951 + ... + 11416961.

It is an arithmetic number, because the mean of its divisors is an integer number (2214248400).

Almost surely, 2102837641016 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 102837641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141711897600).

102837641016 is an abundant number, since it is smaller than the sum of its proper divisors (180586154184).

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

102837641016 is a wasteful number, since it uses less digits than its factorization.

102837641016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 102837641016 in words is "one hundred two billion, eight hundred thirty-seven million, six hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 311 417 556 622 834 933 1112 1244 1529 1668 1866 2488 3058 3336 3421 3732 4587 6116 6842 7464 9011 9174 10263 12232 13684 18022 18348 20526 27033 27368 36044 36696 41052 43229 54066 72088 82104 86458 99121 108132 129687 172916 198242 216264 259374 297363 345832 396484 475519 518748 594726 792968 951038 1037496 1189452 1252529 1426557 1902076 2378904 2505058 2802421 2853114 3757587 3804152 5010116 5604842 5706228 7515174 8407263 10020232 11209684 11412456 13777819 15030348 16814526 22419368 27555638 30060696 30826631 33629052 41333457 55111276 61653262 67258104 82666914 92479893 110222552 123306524 165333828 184959786 246613048 330667656 369919572 389536519 739839144 779073038 1168609557 1558146076 2337219114 3116292152 4284901709 4674438228 8569803418 9348876456 12854705127 17139606836 25709410254 34279213672 51418820508 102837641016