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74957793144 = 23313678234357
BaseRepresentation
bin100010111001111010…
…1010010011101111000
321011110221022102111220
41011303311102131320
52212003143340034
654233553352040
75262344505033
oct1056365223570
9234427272456
1074957793144
11298757a1483
121263b268620
1370b7619070
1438b124c01a
151e3a9cb749
hex1173d52778

74957793144 has 128 divisors (see below), whose sum is σ = 205117463040. Its totient is φ = 22686884352.

The previous prime is 74957793143. The next prime is 74957793151. The reversal of 74957793144 is 44139775947.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74957793143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17201814 + ... + 17206170.

It is an arithmetic number, because the mean of its divisors is an integer number (1602480180).

Almost surely, 274957793144 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 74957793144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558731520).

74957793144 is an abundant number, since it is smaller than the sum of its proper divisors (130159669896).

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

74957793144 is a wasteful number, since it uses less digits than its factorization.

74957793144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5265 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 60.

The spelling of 74957793144 in words is "seventy-four billion, nine hundred fifty-seven million, seven hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 823 871 1608 1646 1742 2469 2613 3292 3484 4357 4938 5226 6584 6968 8714 9876 10452 10699 13071 17428 19752 20904 21398 26142 32097 34856 42796 52284 55141 56641 64194 85592 104568 110282 113282 128388 165423 169923 220564 226564 256776 291919 330846 339846 441128 453128 583838 661692 679692 716833 875757 1167676 1323384 1359384 1433666 1751514 2150499 2335352 2867332 3503028 3585811 3794947 4300998 5734664 7006056 7171622 7589894 8601996 10757433 11384841 14343244 15179788 17203992 21514866 22769682 28686488 30359576 43029732 45539364 46615543 86059464 91078728 93231086 139846629 186462172 240249337 279693258 372924344 480498674 559386516 720748011 960997348 1118773032 1441496022 1921994696 2882992044 3123241381 5765984088 6246482762 9369724143 12492965524 18739448286 24985931048 37478896572 74957793144