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74085496044 = 223753136112227
BaseRepresentation
bin100010011111111010…
…1101111010011101100
321002020010221010211220
41010333311233103230
52203211341333134
654011233143340
75231623216560
oct1047765572354
9232203833756
1074085496044
112946837078a
12124370bab50
136ca89a1c31
14382b4636a0
151dd9123149
hex113fd6f4ec

74085496044 has 96 divisors (see below), whose sum is σ = 201453267456. Its totient is φ = 20750945280.

The previous prime is 74085496013. The next prime is 74085496049. The reversal of 74085496044 is 44069458047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74085496049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6053059 + ... + 6065285.

It is an arithmetic number, because the mean of its divisors is an integer number (2098471536).

Almost surely, 274085496044 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 74085496044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100726633728).

74085496044 is an abundant number, since it is smaller than the sum of its proper divisors (127367771412).

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

74085496044 is a wasteful number, since it uses less digits than its factorization.

74085496044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13653 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 74085496044 in words is "seventy-four billion, eighty-five million, four hundred ninety-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1361 1484 2226 2722 4083 4452 5444 8166 9527 12227 16332 19054 24454 28581 36681 38108 48908 57162 72133 73362 85589 114324 144266 146724 171178 216399 256767 288532 342356 432798 504931 513534 648031 865596 1009862 1027068 1296062 1514793 1944093 2019724 2592124 3029586 3888186 4536217 6059172 7776372 9072434 13608651 16640947 18144868 27217302 33281894 49922841 54434604 66563788 99845682 116486629 199691364 232973258 349459887 465946516 698919774 881970191 1397839548 1763940382 2645910573 3527880764 5291821146 6173791337 10583642292 12347582674 18521374011 24695165348 37042748022 74085496044