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1157376151888 = 241123659433859
BaseRepresentation
bin10000110101111000111…
…111101001000101010000
311002122101112102021112021
4100311320333221011100
5122430301243330023
62243405151341224
7146421600654205
oct20657077510520
94078345367467
101157376151888
11406927735140
12168382b21814
13851a8a626c8
14400356abcac
152018cbb235d
hex10d78fe9150

1157376151888 has 80 divisors (see below), whose sum is σ = 2556511372800. Its totient is φ = 502442272640.

The previous prime is 1157376151861. The next prime is 1157376151889. The reversal of 1157376151888 is 8881516737511.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157376151889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2450703 + ... + 2884561.

It is an arithmetic number, because the mean of its divisors is an integer number (31956392160).

Almost surely, 21157376151888 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 1157376151888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278255686400).

1157376151888 is an abundant number, since it is smaller than the sum of its proper divisors (1399135220912).

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

1157376151888 is a wasteful number, since it uses less digits than its factorization.

1157376151888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434560 (or 434554 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 61.

The spelling of 1157376151888 in words is "one trillion, one hundred fifty-seven billion, three hundred seventy-six million, one hundred fifty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 659 1012 1318 2024 2636 4048 5272 7249 10544 14498 15157 28996 30314 57992 60628 115984 121256 166727 242512 333454 433859 666908 867718 1333816 1735436 2667632 3470872 4772449 6941744 9544898 9978757 19089796 19957514 38179592 39915028 76359184 79830056 109766327 159660112 219532654 285913081 439065308 571826162 878130616 1143652324 1756261232 2287304648 3145043891 4574609296 6290087782 6576000863 12580175564 13152001726 25160351128 26304003452 50320702256 52608006904 72336009493 105216013808 144672018986 289344037972 578688075944 1157376151888