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157460447976 = 233132573535563
BaseRepresentation
bin1001001010100101011…
…1111100001011101000
3120001102200121112112120
42102221113330023220
510034434333313401
6200200351511240
714243005503306
oct2225127741350
9501380545476
10157460447976
1160862355137
1226625228520
1311b0509c810
14789a529276
154168a4c836
hex24a95fc2e8

157460447976 has 128 divisors (see below), whose sum is σ = 426863848320. Its totient is φ = 48115482624.

The previous prime is 157460447927. The next prime is 157460447983. The reversal of 157460447976 is 679744064751.

157460447976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28302171 + ... + 28307733.

It is an arithmetic number, because the mean of its divisors is an integer number (3334873815).

Almost surely, 2157460447976 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 157460447976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213431924160).

157460447976 is an abundant number, since it is smaller than the sum of its proper divisors (269403400344).

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

157460447976 is a wasteful number, since it uses less digits than its factorization.

157460447976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 157460447976 in words is "one hundred fifty-seven billion, four hundred sixty million, four hundred forty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 353 514 706 771 1028 1059 1412 1542 2056 2118 2824 3084 3341 4236 4589 5563 6168 6682 8472 9178 10023 11126 13364 13767 16689 18356 20046 22252 26728 27534 33378 36712 40092 44504 55068 66756 72319 80184 90721 110136 133512 144638 181442 216957 272163 289276 362884 433914 544326 578552 725768 867828 1088652 1179373 1429691 1735656 1963739 2177304 2358746 2859382 3538119 3927478 4289073 4717492 5718764 5891217 7076238 7854956 8578146 9434984 11437528 11782434 14152476 15709912 17156292 18585983 23564868 25528607 28304952 34312584 37171966 47129736 51057214 55757949 74343932 76585821 102114428 111515898 148687864 153171642 204228856 223031796 306343284 446063592 504680923 612686568 1009361846 1514042769 2018723692 3028085538 4037447384 6056171076 6560851999 12112342152 13121703998 19682555997 26243407996 39365111994 52486815992 78730223988 157460447976