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2607923882144 = 25743270756217
BaseRepresentation
bin100101111100110100011…
…000000110100010100000
3100020022111200212211021202
4211330310120012202200
5320212012003212034
65314021431340332
7356262533146220
oct45746430064240
910208450784252
102607923882144
11916018052309
123615245216a8
1315bc06a33629
149031d266080
1547c8880c47e
hex25f346068a0

2607923882144 has 48 divisors (see below), whose sum is σ = 6004289890368. Its totient is φ = 1091689062912.

The previous prime is 2607923882143. The next prime is 2607923882159. The reversal of 2607923882144 is 4412883297062.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2607923882144.

It is not an unprimeable number, because it can be changed into a prime (2607923882143) 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 7 ways as a sum of consecutive naturals, for example, 135368477 + ... + 135387740.

It is an arithmetic number, because the mean of its divisors is an integer number (125089372716).

Almost surely, 22607923882144 is an apocalyptic number.

It is an amenable number.

2607923882144 is an abundant number, since it is smaller than the sum of its proper divisors (3396366008224).

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

2607923882144 is a wasteful number, since it uses less digits than its factorization.

2607923882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270756277 (or 270756269 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 2607923882144 in words is "two trillion, six hundred seven billion, nine hundred twenty-three million, eight hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 270756217 541512434 1083024868 1895293519 2166049736 3790587038 4332099472 7581174076 8664198944 11642517331 15162348152 23285034662 30324696304 46570069324 60649392608 81497621317 93140138648 162995242634 186280277296 325990485268 372560554592 651980970536 1303961941072 2607923882144