Search a number
-
+
74811359136 = 2534123338147
BaseRepresentation
bin100010110101100011…
…0101011111110100000
321011002201202210211010
41011223012223332200
52211203201443021
654211243020520
75255616026523
oct1055306537640
9234081683733
1074811359136
1129800075438
12125ba20a740
137093198317
143899a10bba
151e2cc03976
hex116b1abfa0

74811359136 has 96 divisors (see below), whose sum is σ = 201280500288. Its totient is φ = 24315484160.

The previous prime is 74811359113. The next prime is 74811359149. The reversal of 74811359136 is 63195311847.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9178615 + ... + 9186761.

It is an arithmetic number, because the mean of its divisors is an integer number (2096671878).

Almost surely, 274811359136 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 74811359136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100640250144).

74811359136 is an abundant number, since it is smaller than the sum of its proper divisors (126469141152).

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

74811359136 is a wasteful number, since it uses less digits than its factorization.

74811359136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10526 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 74811359136 in words is "seventy-four billion, eight hundred eleven million, three hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 2333 3936 4666 6999 8147 9332 13998 16294 18664 24441 27996 32588 37328 48882 55992 65176 74656 95653 97764 111984 130352 191306 195528 223968 260704 286959 334027 382612 391056 573918 668054 765224 782112 1002081 1147836 1336108 1530448 2004162 2295672 2672216 3060896 4008324 4591344 5344432 8016648 9182688 10688864 16033296 19006951 32066592 38013902 57020853 76027804 114041706 152055608 228083412 304111216 456166824 608222432 779284991 912333648 1558569982 1824667296 2337854973 3117139964 4675709946 6234279928 9351419892 12468559856 18702839784 24937119712 37405679568 74811359136