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1138555100772 = 22343514058953
BaseRepresentation
bin10000100100010111001…
…011000001111001100100
311000211210212021211010000
4100210113023001321210
5122123230101211042
62231013415101300
7145154312451105
oct20442713017144
94024725254100
101138555100772
113a9949743941
121647ab971830
13834996bb57b
143d16bbd63ac
151e93a6c474c
hex109172c1e64

1138555100772 has 30 divisors (see below), whose sum is σ = 2976407934038. Its totient is φ = 379518366816.

The previous prime is 1138555100731. The next prime is 1138555100777. The reversal of 1138555100772 is 2770015558311.

1138555100772 is a `hidden beast` number, since 1 + 13 + 8 + 55 + 510 + 0 + 7 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1128149876736 + 10405224036 = 1062144^2 + 102006^2 .

It is not an unprimeable number, because it can be changed into a prime (1138555100777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1757029153 + ... + 1757029800.

Almost surely, 21138555100772 is an apocalyptic number.

1138555100772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1138555100772 is an abundant number, since it is smaller than the sum of its proper divisors (1837852833266).

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

1138555100772 is a wasteful number, since it uses less digits than its factorization.

1138555100772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514058969 (or 3514058958 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 1138555100772 in words is "one trillion, one hundred thirty-eight billion, five hundred fifty-five million, one hundred thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3514058953 7028117906 10542176859 14056235812 21084353718 31626530577 42168707436 63253061154 94879591731 126506122308 189759183462 284638775193 379518366924 569277550386 1138555100772