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13750142472 = 23331121127427
BaseRepresentation
bin11001100111001001…
…01000011000001000
31022111021022121111000
430303210220120020
5211130014024342
610152225135000
7664512165633
oct146344503010
938437277430
1013750142472
115916662610
1227b8a8a460
1313b19192a1
14946236c1a
1555722b44c
hex333928608

13750142472 has 128 divisors (see below), whose sum is σ = 41866099200. Its totient is φ = 4146811200.

The previous prime is 13750142467. The next prime is 13750142507. The reversal of 13750142472 is 27424105731.

13750142472 is a `hidden beast` number, since 137 + 50 + 1 + 4 + 2 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487623 + ... + 515049.

It is an arithmetic number, because the mean of its divisors is an integer number (327078900).

Almost surely, 213750142472 is an apocalyptic number.

13750142472 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 13750142472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933049600).

13750142472 is an abundant number, since it is smaller than the sum of its proper divisors (28115956728).

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

13750142472 is a wasteful number, since it uses less digits than its factorization.

13750142472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27664 (or 27654 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13750142472 in words is "thirteen billion, seven hundred fifty million, one hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 211 216 264 297 396 422 594 633 792 844 1188 1266 1688 1899 2321 2376 2532 3798 4642 5064 5697 6963 7596 9284 11394 13926 15192 18568 20889 22788 27427 27852 41778 45576 54854 55704 62667 82281 83556 109708 125334 164562 167112 219416 246843 250668 301697 329124 493686 501336 603394 658248 740529 905091 987372 1206788 1481058 1810182 1974744 2413576 2715273 2962116 3620364 5430546 5787097 5924232 7240728 8145819 10861092 11574194 16291638 17361291 21722184 23148388 32583276 34722582 46296776 52083873 63658067 65166552 69445164 104167746 127316134 138890328 156251619 190974201 208335492 254632268 312503238 381948402 416670984 509264536 572922603 625006476 763896804 1145845206 1250012952 1527793608 1718767809 2291690412 3437535618 4583380824 6875071236 13750142472