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1379765033952 = 253172879293659
BaseRepresentation
bin10100000101000000011…
…001111001101111100000
311212220102012100000101220
4110011000121321233200
5140101224322041302
62533504425055040
7201453602164644
oct24050031715740
94786365300356
101379765033952
11492178433858
121a34a8627480
13a015a651796
144aad103cc24
1525d5697e4bc
hex14140679be0

1379765033952 has 96 divisors (see below), whose sum is σ = 3836280268800. Its totient is φ = 432715634688.

The previous prime is 1379765033939. The next prime is 1379765033981. The reversal of 1379765033952 is 2593305679731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4551699 + ... + 4845357.

It is an arithmetic number, because the mean of its divisors is an integer number (39961252800).

Almost surely, 21379765033952 is an apocalyptic number.

1379765033952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379765033952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918140134400).

1379765033952 is an abundant number, since it is smaller than the sum of its proper divisors (2456515234848).

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

1379765033952 is a wasteful number, since it uses less digits than its factorization.

1379765033952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296568 (or 296560 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 60.

The spelling of 1379765033952 in words is "one trillion, three hundred seventy-nine billion, seven hundred sixty-five million, thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2879 5758 8637 11516 17274 23032 34548 46064 48943 69096 92128 97886 138192 146829 195772 276384 293658 293659 391544 587316 587318 783088 880977 1174632 1174636 1566176 1761954 2349264 2349272 3523908 4698528 4698544 4992203 7047816 9397088 9984406 14095632 14976609 19968812 28191264 29953218 39937624 59906436 79875248 119812872 159750496 239625744 479251488 845444261 1690888522 2536332783 3381777044 5072665566 6763554088 10145331132 13527108176 14372552437 20290662264 27054216352 28745104874 40581324528 43117657311 57490209748 81162649056 86235314622 114980419496 172470629244 229960838992 344941258488 459921677984 689882516976 1379765033952