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2151085106384 = 242329211955277
BaseRepresentation
bin11111010011010110101…
…010011110010011010000
321121122022211010110221222
4133103112222132103100
5240220410241401014
64324110031104212
7311260615501544
oct37232652362320
97548284113858
102151085106384
1175a2a7511475
122a8a8a072068
13127b0087b3c6
14761823c3a24
153ae4bea008e
hex1f4d6a9e4d0

2151085106384 has 80 divisors (see below), whose sum is σ = 4520222651520. Its totient is φ = 988596026880.

The previous prime is 2151085106329. The next prime is 2151085106393. The reversal of 2151085106384 is 4836015801512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774154 + ... + 2729430.

It is an arithmetic number, because the mean of its divisors is an integer number (56502783144).

Almost surely, 22151085106384 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 2151085106384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260111325760).

2151085106384 is an abundant number, since it is smaller than the sum of its proper divisors (2369137545136).

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

2151085106384 is a wasteful number, since it uses less digits than its factorization.

2151085106384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955548 (or 955542 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 2151085106384 in words is "two trillion, one hundred fifty-one billion, eighty-five million, one hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 211 232 368 422 464 667 844 1334 1688 2668 3376 4853 5336 6119 9706 10672 12238 19412 24476 38824 48952 77648 97904 140737 281474 562948 955277 1125896 1910554 2251792 3821108 7642216 15284432 21971371 27703033 43942742 55406066 87885484 110812132 175770968 201563447 221624264 351541936 403126894 443248528 637169759 806253788 1274339518 1612507576 2548679036 3225015152 4635959281 5097358072 5845339963 9271918562 10194716144 11690679926 18543837124 23381359852 37087674248 46762719704 74175348496 93525439408 134442819149 268885638298 537771276596 1075542553192 2151085106384