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2623855456144 = 241382383918269
BaseRepresentation
bin100110001011101001111…
…110001110111110010000
3100021211121222221122021001
4212023221332032332100
5320442123444044034
65325214344311344
7360365404246636
oct46135176167620
910254558848231
102623855456144
1192185300169a
1236462ba72554
1316057557c5b0
1490dd10a5356
15483bc2d8a14
hex262e9f8ef90

2623855456144 has 80 divisors (see below), whose sum is σ = 5488261228800. Its totient is φ = 1208030980608.

The previous prime is 2623855456093. The next prime is 2623855456169. The reversal of 2623855456144 is 4416545583262.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143614242 + ... + 143632510.

It is an arithmetic number, because the mean of its divisors is an integer number (68603265360).

Almost surely, 22623855456144 is an apocalyptic number.

It is an amenable number.

2623855456144 is an abundant number, since it is smaller than the sum of its proper divisors (2864405772656).

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

2623855456144 is a wasteful number, since it uses less digits than its factorization.

2623855456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19952 (or 19946 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 55.

The spelling of 2623855456144 in words is "two trillion, six hundred twenty-three billion, eight hundred fifty-five million, four hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 823 839 1646 1678 3292 3356 6584 6712 10699 10907 13168 13424 18269 21398 21814 36538 42796 43628 73076 85592 87256 146152 171184 174512 237497 292304 474994 690497 949988 1380994 1899976 2761988 3799952 5523976 8976461 11047952 15035387 15327691 17952922 30070774 30655382 35905844 60141548 61310764 71811688 120283096 122621528 143623376 195460031 199259983 240566192 245243056 390920062 398519966 781840124 797039932 1563680248 1594079864 3127360496 3188159728 12614689693 25229379386 50458758772 100917517544 163990966009 201835035088 327981932018 655963864036 1311927728072 2623855456144