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74108259136 = 267383223857
BaseRepresentation
bin100010100000100110…
…0100100101101000000
321002021201202121221101
41011001030210231000
52203233203243021
654013405104144
75232320544352
oct1050114445500
9232251677841
1074108259136
112947a1a8a5a
1212442858054
136cb0611c12
1438304ab0d2
151ddb11ca91
hex1141324b40

74108259136 has 112 divisors (see below), whose sum is σ = 151722514944. Its totient is φ = 35902365696.

The previous prime is 74108259133. The next prime is 74108259143. The reversal of 74108259136 is 63195280147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74108259133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86473620 + ... + 86474476.

It is an arithmetic number, because the mean of its divisors is an integer number (1354665312).

It is a 1-persistent number, because it is pandigital, but 2⋅74108259136 = 148216518272 is not.

Almost surely, 274108259136 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 74108259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75861257472).

74108259136 is an abundant number, since it is smaller than the sum of its proper divisors (77614255808).

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

74108259136 is a wasteful number, since it uses less digits than its factorization.

74108259136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 74108259136 in words is "seventy-four billion, one hundred eight million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 83 146 166 223 292 332 446 584 664 857 892 1168 1328 1714 1784 2336 2656 3428 3568 4672 5312 6059 6856 7136 12118 13712 14272 16279 18509 24236 27424 32558 37018 48472 54848 62561 65116 71131 74036 96944 125122 130232 142262 148072 191111 193888 250244 260464 284524 296144 382222 387776 500488 520928 569048 592288 764444 1000976 1041856 1138096 1184576 1351157 1528888 2001952 2276192 2702314 3057776 4003904 4552384 5192563 5404628 6115552 10385126 10809256 12231104 13951103 15862213 20770252 21618512 27902206 31724426 41540504 43237024 55804412 63448852 83081008 86474048 111608824 126897704 166162016 223217648 253795408 332324032 446435296 507590816 892870592 1015181632 1157941549 2315883098 4631766196 9263532392 18527064784 37054129568 74108259136