Search a number
-
+
52532460293184 = 26323019972
BaseRepresentation
bin10111111000111001010101…
…01000101000110001000000
320220000001110110222120111100
423330130222220220301000
523341142434313340214
6303421025030214400
714031226223636034
oct1374345250506100
9226001413876440
1052532460293184
1115813989354053
125a851867b4400
132340a36106391
14cd882839c1c4
15611753380309
hex2fc72aa28c40

52532460293184 has 63 divisors (see below), whose sum is σ = 150575311001557. Its totient is φ = 17510762114304.

The previous prime is 52532460293111. The next prime is 52532460293197. The reversal of 52532460293184 is 48139206423525.

The square root of 52532460293184 is 7247928.

It is a perfect power (a square), and thus also a powerful number.

52532460293184 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 24 + 602 + 9 + 3 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6326834702400 + 46205625590784 = 2515320^2 + 6797472^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52532460293184.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173799274 + ... + 174101270.

Almost surely, 252532460293184 is an apocalyptic number.

52532460293184 is the 7247928-th square number.

It is an amenable number.

52532460293184 is an abundant number, since it is smaller than the sum of its proper divisors (98042850708373).

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

52532460293184 is an frugal number, since it uses more digits than its factorization.

52532460293184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604012 (or 302002 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 52532460293184 in words is "fifty-two trillion, five hundred thirty-two billion, four hundred sixty million, two hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 301997 603994 905991 1207988 1811982 2415976 2717973 3623964 4831952 5435946 7247928 9663904 10871892 14495856 19327808 21743784 28991712 43487568 57983424 86975136 173950272 91202188009 182404376018 273606564027 364808752036 547213128054 729617504072 820819692081 1094426256108 1459235008144 1641639384162 2188852512216 2918470016288 3283278768324 4377705024432 5836940032576 6566557536648 8755410048864 13133115073296 17510820097728 26266230146592 52532460293184