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258840000054 = 23282340914271
BaseRepresentation
bin1111000100010000010…
…0001111011000110110
3220202010000010101110200
43301010010033120312
513220101020000204
6314524235301330
724462203461446
oct3610404173066
9822100111420
10258840000054
119a856483119
12421b8baa846
131b54064b75c
14c756898126
156aede3d539
hex3c4410f636

258840000054 has 48 divisors (see below), whose sum is σ = 561770187264. Its totient is φ = 86133927600.

The previous prime is 258840000007. The next prime is 258840000059. The reversal of 258840000054 is 450000048852.

It is a junction number, because it is equal to n+sod(n) for n = 258839999973 and 258840000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258840000059) 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 23 ways as a sum of consecutive naturals, for example, 60601939 + ... + 60606209.

It is an arithmetic number, because the mean of its divisors is an integer number (11703545568).

Almost surely, 2258840000054 is an apocalyptic number.

258840000054 is an abundant number, since it is smaller than the sum of its proper divisors (302930187210).

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

258840000054 is a wasteful number, since it uses less digits than its factorization.

258840000054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 258840000054 in words is "two hundred fifty-eight billion, eight hundred forty million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 823 1646 2469 4091 4271 4938 7407 8182 8542 12273 12813 14814 24546 25626 36819 38439 73638 76878 3366893 3515033 6733786 7030066 10100679 10545099 17472661 20201358 21090198 30302037 31635297 34945322 52417983 60604074 63270594 104835966 157253949 314507898 14380000003 28760000006 43140000009 86280000018 129420000027 258840000054