Search a number
-
+
31263541055656 = 23713311655383689
BaseRepresentation
bin1110001101111000111000…
…10000100101000010101000
311002200202122221002221101021
413012330130100211002220
513044210213002240111
6150254134505102224
76404500456222330
oct706743420450250
9132622587087337
1031263541055656
119a6387a983788
12360b100787974
13145a1a6c96930
147a12407720c0
15393383033d71
hex1c6f1c4250a8

31263541055656 has 128 divisors (see below), whose sum is σ = 74479333017600. Its totient is φ = 11968160624640.

The previous prime is 31263541055647. The next prime is 31263541055689. The reversal of 31263541055656 is 65655014536213.

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

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 31 ways as a sum of consecutive naturals, for example, 373526260 + ... + 373609948.

It is an arithmetic number, because the mean of its divisors is an integer number (581869789200).

Almost surely, 231263541055656 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 31263541055656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37239666508800).

31263541055656 is an abundant number, since it is smaller than the sum of its proper divisors (43215791961944).

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

31263541055656 is a wasteful number, since it uses less digits than its factorization.

31263541055656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100299 (or 100295 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 52.

The spelling of 31263541055656 in words is "thirty-one trillion, two hundred sixty-three billion, five hundred forty-one million, fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 16553 22568 33106 66212 83689 115871 132424 167378 215189 231742 334756 430378 463484 513143 585823 669512 860756 926968 1026286 1087957 1171646 1506323 1721512 2052572 2175914 2343292 2594359 3012646 3592001 4105144 4351828 4686584 5188718 6025292 6670859 7184002 7615699 8703656 10377436 12050584 13341718 14368004 15231398 18160513 20754872 26683436 28736008 30462796 33726667 36321026 46696013 53366872 60925592 67453334 72642052 93392026 134906668 145284104 186784052 236086669 269813336 373568104 472173338 944346676 1385304017 1888693352 2770608034 5541216068 9697128119 11082432136 18008952221 19394256238 36017904442 38788512476 42944424527 72035808884 77577024952 85888849054 126062665547 144071617768 171777698108 252125331094 300610971689 343555396216 504250662188 558277518851 601221943378 1008501324376 1116555037702 1202443886756 2233110075404 2404887773512 3907942631957 4466220150808 7815885263914 15631770527828 31263541055656