Search a number
-
+
53157404583360 = 263257113159131059
BaseRepresentation
bin11000001011000101011000…
…01101111010010111000000
320222012210112220220212021200
430011202230031322113000
523431412331033131420
6305020101411221200
714124332016520110
oct1405425415722700
9228183486825250
1053157404583360
1115a34a24092aa0
125b663172a7800
13238794c892aac
14d1ab91447040
15622b2d068b90
hex3058ac37a5c0

53157404583360 has 1344 divisors, whose sum is σ = 239299035955200. Its totient is φ = 10508125593600.

The previous prime is 53157404583359. The next prime is 53157404583457. The reversal of 53157404583360 is 6338540475135.

53157404583360 is a `hidden beast` number, since 5 + 3 + 1 + 57 + 4 + 0 + 4 + 583 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 53157404583297 and 53157404583306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 405533511 + ... + 405664569.

Almost surely, 253157404583360 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 53157404583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119649517977600).

53157404583360 is an abundant number, since it is smaller than the sum of its proper divisors (186141631371840).

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

53157404583360 is a wasteful number, since it uses less digits than its factorization.

53157404583360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131190 (or 131177 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 53157404583360 in words is "fifty-three trillion, one hundred fifty-seven billion, four hundred four million, five hundred eighty-three thousand, three hundred sixty".