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992773031251 = 17233121813541
BaseRepresentation
bin11100111001001011110…
…00100100010101010011
310111220112001121101002211
432130211320210111103
5112231144344000001
62040023523252551
7131503561350211
oct16344570442523
93456461541084
10992773031251
1135303a549351
121404a581a157
1372805c55281
143609c6c7cb1
151ac57067351
hexe725e24553

992773031251 has 16 divisors (see below), whose sum is σ = 1097227349568. Its totient is φ = 893462169600.

The previous prime is 992773031233. The next prime is 992773031269. The reversal of 992773031251 is 152130377299.

It is a happy number.

992773031251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (992773031233) and next prime (992773031269).

It is a 11-Lehmer number, since φ(992773031251) divides (992773031251-1)11.

It is a cyclic number.

It is not a de Polignac number, because 992773031251 - 27 = 992773031123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 992773031195 and 992773031204.

It is not an unprimeable number, because it can be changed into a prime (992773037251) 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, 813541 + ... + 1627081.

It is an arithmetic number, because the mean of its divisors is an integer number (68576709348).

Almost surely, 2992773031251 is an apocalyptic number.

992773031251 is the 813541-st pentagonal number.

992773031251 is a deficient number, since it is larger than the sum of its proper divisors (104454318317).

992773031251 is a wasteful number, since it uses less digits than its factorization.

992773031251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816702.

The product of its (nonzero) digits is 714420, while the sum is 49.

The spelling of 992773031251 in words is "nine hundred ninety-two billion, seven hundred seventy-three million, thirty-one thousand, two hundred fifty-one".

Divisors: 1 17 23 391 3121 53057 71783 813541 1220311 13830197 18711443 318094531 2539061461 43164044837 58398413603 992773031251