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2164203110432 = 251125723923363
BaseRepresentation
bin11111011111100100100…
…011101100000000100000
321122220012000222010112202
4133133210203230000200
5240424241444013212
64334115435312332
7312233653625366
oct37374443540040
97586160863482
102164203110432
11764919265030
122ab52b2ab6a8
1312911152868c
1476a686a9636
153b4689610c2
hex1f7e48ec020

2164203110432 has 48 divisors (see below), whose sum is σ = 4666204301472. Its totient is φ = 979900907520.

The previous prime is 2164203110413. The next prime is 2164203110449. The reversal of 2164203110432 is 2340113024612.

It is a junction number, because it is equal to n+sod(n) for n = 2164203110395 and 2164203110404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11871218 + ... + 12052145.

It is an arithmetic number, because the mean of its divisors is an integer number (97212589614).

Almost surely, 22164203110432 is an apocalyptic number.

2164203110432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2164203110432 is an abundant number, since it is smaller than the sum of its proper divisors (2502001191040).

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

2164203110432 is a wasteful number, since it uses less digits than its factorization.

2164203110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23923641 (or 23923633 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 2164203110432 in words is "two trillion, one hundred sixty-four billion, two hundred three million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 257 352 514 1028 2056 2827 4112 5654 8224 11308 22616 45232 90464 23923363 47846726 95693452 191386904 263156993 382773808 526313986 765547616 1052627972 2105255944 4210511888 6148304291 8421023776 12296608582 24593217164 49186434328 67631347201 98372868656 135262694402 196745737312 270525388804 541050777608 1082101555216 2164203110432