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52464232674 = 23272277214741
BaseRepresentation
bin110000110111000111…
…001010100011100010
312000102022201011100200
4300313013022203202
51324421320421144
640033550330030
73535053422400
oct606707124342
9160368634320
1052464232674
1120282767587
12a2021b9916
134c41458079
142779b10470
151570da7c69
hexc371ca8e2

52464232674 has 72 divisors (see below), whose sum is σ = 132709267548. Its totient is φ = 14935596480.

The previous prime is 52464232651. The next prime is 52464232679. The reversal of 52464232674 is 47623246425.

52464232674 is a `hidden beast` number, since 524 + 64 + 2 + 3 + 2 + 67 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43266080025 + 9198152649 = 208005^2 + 95907^2 .

Its product of digits (1935360) is a multiple of the sum of its prime factors (215040).

It is not an unprimeable number, because it can be changed into a prime (52464232679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136944 + ... + 351684.

Almost surely, 252464232674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52464232674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66354633774).

52464232674 is an abundant number, since it is smaller than the sum of its proper divisors (80245034874).

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

52464232674 is a wasteful number, since it uses less digits than its factorization.

52464232674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215040 (or 215030 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 52464232674 in words is "fifty-two billion, four hundred sixty-four million, two hundred thirty-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 277 294 441 554 831 882 1662 1939 2493 3878 4986 5817 11634 13573 17451 27146 34902 40719 81438 122157 214741 244314 429482 644223 1288446 1503187 1932669 3006374 3865338 4509561 9019122 10522309 13528683 21044618 27057366 31566927 59483257 63133854 94700781 118966514 178449771 189401562 356899542 416382799 535349313 832765598 1070698626 1249148397 2498296794 2914679593 3747445191 5829359186 7494890382 8744038779 17488077558 26232116337 52464232674