Search a number
-
+
72534486339 = 3371312929621
BaseRepresentation
bin100001110001101100…
…1000110110101000011
320221020001102200112000
41003203121012311003
52142022312030324
653153305435043
75145320650440
oct1034331066503
9227201380460
1072534486339
1128841910187
121208379ba83
136abc55cb03
1437214829c7
151d47d9e9c9
hex10e3646d43

72534486339 has 32 divisors (see below), whose sum is σ = 123747233280. Its totient is φ = 41131864800.

The previous prime is 72534486329. The next prime is 72534486377. The reversal of 72534486339 is 93368443527.

72534486339 is a `hidden beast` number, since 7 + 2 + 534 + 48 + 63 + 3 + 9 = 666.

It is not a de Polignac number, because 72534486339 - 229 = 71997615427 is a prime.

It is a super-2 number, since 2×725344863392 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72534486329) 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 31 ways as a sum of consecutive naturals, for example, 1440052 + ... + 1489569.

It is an arithmetic number, because the mean of its divisors is an integer number (3867101040).

Almost surely, 272534486339 is an apocalyptic number.

72534486339 is a deficient number, since it is larger than the sum of its proper divisors (51212746941).

72534486339 is a wasteful number, since it uses less digits than its factorization.

72534486339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929768 (or 2929762 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 72534486339 in words is "seventy-two billion, five hundred thirty-four million, four hundred eighty-six thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 21 27 63 131 189 393 917 1179 2751 3537 8253 24759 2929621 8788863 20507347 26366589 61522041 79099767 184566123 383780351 553698369 1151341053 2686462457 3454023159 8059387371 10362069477 24178162113 72534486339