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2585097089352 = 2332231561048967
BaseRepresentation
bin100101100111100011110…
…010110011000101001000
3100011010120212020121022200
4211213203302303011020
5314323234323324402
65255324402120200
7354524054464011
oct45474362630510
910133525217280
102585097089352
11907373a05aa8
12359013950060
13159a0980a54b
148d195784008
154739e81321c
hex259e3cb3148

2585097089352 has 48 divisors (see below), whose sum is σ = 7305709170240. Its totient is φ = 824233854048.

The previous prime is 2585097089321. The next prime is 2585097089353. The reversal of 2585097089352 is 2539807905852.

2585097089352 is a `hidden beast` number, since 2 + 5 + 8 + 509 + 70 + 8 + 9 + 3 + 52 = 666.

It is a super-2 number, since 2×25850970893522 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2585097089352.

It is not an unprimeable number, because it can be changed into a prime (2585097089353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780522828 + ... + 780526139.

It is an arithmetic number, because the mean of its divisors is an integer number (152202274380).

Almost surely, 22585097089352 is an apocalyptic number.

It is an amenable number.

2585097089352 is an abundant number, since it is smaller than the sum of its proper divisors (4720612080888).

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

2585097089352 is a wasteful number, since it uses less digits than its factorization.

2585097089352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561049002 (or 1561048995 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

It can be divided in two parts, 258509 and 7089352, that added together give a triangular number (7347861 = T3833).

The spelling of 2585097089352 in words is "two trillion, five hundred eighty-five billion, ninety-seven million, eighty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 1561048967 3122097934 4683146901 6244195868 9366293802 12488391736 14049440703 18732587604 28098881406 35904126241 37465175208 56197762812 71808252482 107712378723 112395525624 143616504964 215424757446 287233009928 323137136169 430849514892 646274272338 861699029784 1292548544676 2585097089352