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2137468673305 = 57731444957899
BaseRepresentation
bin11111000110101011000…
…011111001110100011001
321120100011212102000021201
4133012223003321310121
5240010013440021210
64313534535434201
7310266315643120
oct37065303716431
97510155360251
102137468673305
1175454a384799
122a6309b25961
13126740879104
147564dc34ab7
153a90188653a
hex1f1ab0f9d19

2137468673305 has 32 divisors (see below), whose sum is σ = 2971798560000. Its totient is φ = 1445489805312.

The previous prime is 2137468673299. The next prime is 2137468673441. The reversal of 2137468673305 is 5033768647312.

It is not a de Polignac number, because 2137468673305 - 239 = 1587712859417 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 36888246 + ... + 36946144.

It is an arithmetic number, because the mean of its divisors is an integer number (92868705000).

Almost surely, 22137468673305 is an apocalyptic number.

It is an amenable number.

2137468673305 is a deficient number, since it is larger than the sum of its proper divisors (834329886695).

2137468673305 is a wasteful number, since it uses less digits than its factorization.

2137468673305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72433.

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 2137468673305 in words is "two trillion, one hundred thirty-seven billion, four hundred sixty-eight million, six hundred seventy-three thousand, three hundred five".

Divisors: 1 5 7 35 73 365 511 2555 14449 57899 72245 101143 289495 405293 505715 1054777 2026465 4226627 5273885 7383439 21133135 29586389 36917195 147931945 836582651 4182913255 5856078557 29280392785 61070533523 305352667615 427493734661 2137468673305