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1138917024168 = 23371119536179127
BaseRepresentation
bin10000100100101100101…
…111101010000110101000
311000212202002022102200020
4100210230233222012220
5122130000224233133
62231113344240440
7145166265655260
oct20445457520650
94025662272606
101138917024168
113aa014a72290
12164891010120
138352668a921
143d1a3cc87a0
151e95c3660b3
hex1092cbea1a8

1138917024168 has 1024 divisors, whose sum is σ = 3949461504000. Its totient is φ = 264931430400.

The previous prime is 1138917024101. The next prime is 1138917024239. The reversal of 1138917024168 is 8614207198311.

It is a self number, because there is not a number n which added to its sum of digits gives 1138917024168.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8967850521 + ... + 8967850647.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896000).

Almost surely, 21138917024168 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 1138917024168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974730752000).

1138917024168 is an abundant number, since it is smaller than the sum of its proper divisors (2810544479832).

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

1138917024168 is a wasteful number, since it uses less digits than its factorization.

1138917024168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 1138917024168 in words is "one trillion, one hundred thirty-eight billion, nine hundred seventeen million, twenty-four thousand, one hundred sixty-eight".