Search a number
-
+
157998373416 = 233313192961433
BaseRepresentation
bin1001001100100101101…
…1111101101000101000
3120002211011210222112000
42103021123331220220
510042040040422131
6200330005251000
714262230005122
oct2231133755050
9502734728460
10157998373416
1161008a65514
1226755403a60
1311b8c6730b0
14790bb54212
15419ada7ce6
hex24c96fda28

157998373416 has 128 divisors (see below), whose sum is σ = 497520912000. Its totient is φ = 46056190464.

The previous prime is 157998373373. The next prime is 157998373459. The reversal of 157998373416 is 614373899751.

157998373416 is a `hidden beast` number, since 1 + 5 + 79 + 9 + 83 + 73 + 416 = 666.

157998373416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157998373373) and next prime (157998373459).

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, 1427365 + ... + 1534068.

It is an arithmetic number, because the mean of its divisors is an integer number (3886882125).

Almost surely, 2157998373416 is an apocalyptic number.

It is an amenable number.

157998373416 is an abundant number, since it is smaller than the sum of its proper divisors (339522538584).

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

157998373416 is a wasteful number, since it uses less digits than its factorization.

157998373416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961480 (or 2961470 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 157998373416 in words is "one hundred fifty-seven billion, nine hundred ninety-eight million, three hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 53352 2961433 5922866 8884299 11845732 17768598 23691464 26652897 35537196 38498629 53305794 56267227 71074392 76997258 79958691 106611588 112534454 115495887 153994516 159917382 168801681 213223176 225068908 230991774 307989032 319834764 337603362 346487661 450137816 461983548 506405043 639669528 675206724 692975322 731473951 923967096 1012810086 1039462983 1350413448 1385950644 1462947902 1519215129 2025620172 2078925966 2194421853 2771901288 2925895804 3038430258 4051240344 4157851932 4388843706 5851791608 6076860516 6583265559 8315703864 8777687412 12153721032 13166531118 17555374824 19749796677 26333062236 39499593354 52666124472 78999186708 157998373416