Search a number
-
+
53609604781824 = 2832721336527563
BaseRepresentation
bin11000011000001111101010…
…11100110001011100000000
321000211000202112101001210100
430030013311130301130000
524011314432311004244
6310003525031002400
714202110661010500
oct1414076534613400
9230730675331710
1053609604781824
1116099784333083
126019a98209400
1323bb496a41920
14d34a0c229a00
1562e797562b69
hex30c1f5731700

53609604781824 has 324 divisors, whose sum is σ = 193636780906296. Its totient is φ = 14138796478464.

The previous prime is 53609604781823. The next prime is 53609604781867. The reversal of 53609604781824 is 42818740690635.

53609604781824 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 9 + 604 + 7 + 8 + 18 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53609604781823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16796134 + ... + 19731429.

It is a 2-persistent number, because it is pandigital, and so is 2⋅53609604781824 = 107219209563648, but 3⋅53609604781824 = 160828814345472 is not.

Almost surely, 253609604781824 is an apocalyptic number.

It is an amenable number.

53609604781824 is an abundant number, since it is smaller than the sum of its proper divisors (140027176124472).

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

53609604781824 is a wasteful number, since it uses less digits than its factorization.

53609604781824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36527612 (or 36527588 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 53609604781824 in words is "fifty-three trillion, six hundred nine billion, six hundred four million, seven hundred eighty-one thousand, eight hundred twenty-four".