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114966358572 = 2231331128918443
BaseRepresentation
bin110101100010010000…
…1110110101000101100
3101222202012111010120110
41223010201312220230
53340422341433242
6124452000020020
711206654631652
oct1530441665054
9358665433513
10114966358572
114483656a88a
121a346001610
13aac23aa210
1457c8a08dd2
152ecd10639c
hex1ac4876a2c

114966358572 has 96 divisors (see below), whose sum is σ = 298456381440. Its totient is φ = 34204746240.

The previous prime is 114966358537. The next prime is 114966358589. The reversal of 114966358572 is 275853669411.

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 31 ways as a sum of consecutive naturals, for example, 6224383 + ... + 6242825.

It is an arithmetic number, because the mean of its divisors is an integer number (3108920640).

Almost surely, 2114966358572 is an apocalyptic number.

114966358572 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 114966358572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149228190720).

114966358572 is an abundant number, since it is smaller than the sum of its proper divisors (183490022868).

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

114966358572 is a wasteful number, since it uses less digits than its factorization.

114966358572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19783 (or 19781 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

It can be divided in two parts, 1149663 and 58572, that added together give a triangular number (1208235 = T1554).

The spelling of 114966358572 in words is "one hundred fourteen billion, nine hundred sixty-six million, three hundred fifty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1289 1612 2418 2578 3867 4836 5156 7734 15468 16757 18443 33514 36886 39959 50271 55329 67028 73772 79918 100542 110658 119877 159836 201084 221316 239754 239759 479508 479518 519467 571733 719277 959036 1038934 1143466 1438554 1558401 1715199 2077868 2286932 2877108 3116802 3430398 6233604 6860796 7432529 14865058 22297587 23773027 29730116 44595174 47546054 71319081 89190348 95092108 142638162 285276324 309049351 618098702 736963837 927148053 1236197404 1473927674 1854296106 2210891511 2947855348 3708592212 4421783022 8843566044 9580529881 19161059762 28741589643 38322119524 57483179286 114966358572