Search a number
-
+
51429702960 = 24325173412891
BaseRepresentation
bin101111111001011100…
…101111110100110000
311220202020001121101100
4233321130233310300
51320312000443320
635343153004400
73500322155646
oct577134576460
9156666047340
1051429702960
111a8a17aa049
129b73853700
134b0801b1cc
1426bc575196
151510155790
hexbf972fd30

51429702960 has 120 divisors (see below), whose sum is σ = 173716876944. Its totient is φ = 13635279360.

The previous prime is 51429702913. The next prime is 51429702971. The reversal of 51429702960 is 6920792415.

51429702960 is a `hidden beast` number, since 514 + 2 + 9 + 70 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81886 + ... + 331005.

Almost surely, 251429702960 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 51429702960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86858438472).

51429702960 is an abundant number, since it is smaller than the sum of its proper divisors (122287173984).

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

51429702960 is a wasteful number, since it uses less digits than its factorization.

51429702960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413083 (or 413074 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 51429702960 in words is "fifty-one billion, four hundred twenty-nine million, seven hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2595 2768 3114 3460 4152 5190 6228 6920 7785 8304 10380 12456 13840 15570 20760 24912 31140 41520 62280 124560 412891 825782 1238673 1651564 2064455 2477346 3303128 3716019 4128910 4954692 6193365 6606256 7432038 8257820 9909384 12386730 14864076 16515640 18580095 19818768 24773460 29728152 33031280 37160190 49546920 59456304 71430143 74320380 99093840 142860286 148640760 214290429 285720572 297281520 357150715 428580858 571441144 642871287 714301430 857161716 1071452145 1142882288 1285742574 1428602860 1714323432 2142904290 2571485148 2857205720 3214356435 3428646864 4285808580 5142970296 5714411440 6428712870 8571617160 10285940592 12857425740 17143234320 25714851480 51429702960