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74138585472 = 273373064591
BaseRepresentation
bin100010100001100000…
…0010000100110000000
321002100211211100212000
41011003000100212000
52203313434213342
654020411104000
75233136402340
oct1050300204600
9232324740760
1074138585472
1129495331646
1212450a42000
136cb699c5b3
143834522d20
151dddb0d44c
hex1143010980

74138585472 has 128 divisors (see below), whose sum is σ = 250070707200. Its totient is φ = 21182446080.

The previous prime is 74138585441. The next prime is 74138585489. The reversal of 74138585472 is 27458583147.

74138585472 is a `hidden beast` number, since 7 + 4 + 13 + 8 + 585 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508104 + ... + 1556487.

It is an arithmetic number, because the mean of its divisors is an integer number (1953677400).

Almost surely, 274138585472 is an apocalyptic number.

74138585472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74138585472 is an abundant number, since it is smaller than the sum of its proper divisors (175932121728).

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

74138585472 is a wasteful number, since it uses less digits than its factorization.

74138585472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064621 (or 3064603 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 74138585472 in words is "seventy-four billion, one hundred thirty-eight million, five hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 3064591 6129182 9193773 12258364 18387546 21452137 24516728 27581319 36775092 42904274 49033456 55162638 64356411 73550184 82743957 85808548 98066912 110325276 128712822 147100368 165487914 171617096 193069233 196133824 220650552 257425644 294200736 330975828 343234192 386138466 392267648 441301104 514851288 579207699 588401472 661951656 686468384 772276932 882602208 1029702576 1158415398 1176802944 1323903312 1372936768 1544553864 1765204416 2059405152 2316830796 2647806624 2745873536 3089107728 3530408832 4118810304 4633661592 5295613248 6178215456 8237620608 9267323184 10591226496 12356430912 18534646368 24712861824 37069292736 74138585472