Search a number
-
+
2159679710032 = 241359613287087
BaseRepresentation
bin11111011011010110111…
…100010010001101010000
321122110111210101120201121
4133123112330102031100
5240341011001210112
64332050531212024
7312013606434205
oct37332674221520
97573453346647
102159679710032
11762a07991399
122aa688447014
1312887034aab0
1476759a2bcac
153b2a179e407
hex1f6d6f12350

2159679710032 has 80 divisors (see below), whose sum is σ = 4590123713280. Its totient is φ = 978278846976.

The previous prime is 2159679709987. The next prime is 2159679710047. The reversal of 2159679710032 is 2300179769512.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379193 + ... + 7666279.

It is an arithmetic number, because the mean of its divisors is an integer number (57376546416).

Almost surely, 22159679710032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159679710032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295061856640).

2159679710032 is an abundant number, since it is smaller than the sum of its proper divisors (2430444003248).

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

2159679710032 is a wasteful number, since it uses less digits than its factorization.

2159679710032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287780 (or 287774 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 2159679710032 in words is "two trillion, one hundred fifty-nine billion, six hundred seventy-nine million, seven hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 613 767 944 1226 1534 2452 3068 4904 6136 7969 9808 12272 15938 31876 36167 63752 72334 127504 144668 287087 289336 470171 574174 578672 940342 1148348 1880684 2296696 3732131 3761368 4593392 7464262 7522736 14928524 16938133 29857048 33876266 59714096 67752532 135505064 175984331 220195729 271010128 351968662 440391458 703937324 880782916 1407874648 1761565832 2287796303 2815749296 3523131664 4575592606 9151185212 10383075529 18302370424 20766151058 36604740848 41532302116 83064604232 134979981877 166129208464 269959963754 539919927508 1079839855016 2159679710032