Search a number
-
+
155311245504 = 2636231011433
BaseRepresentation
bin1001000010100101000…
…1011000100011000000
3112211212220111202000000
42100221101120203000
510021034134324004
6155203215000000
714135520543012
oct2205121304300
9484786452000
10155311245504
115a95a170548
1226125509000
1311851a4558c
147734d121b2
154090016c39
hex24294588c0

155311245504 has 392 divisors, whose sum is σ = 487286576352. Its totient is φ = 48995020800.

The previous prime is 155311245503. The next prime is 155311245569. The reversal of 155311245504 is 405542113551.

155311245504 is a `hidden beast` number, since 1 + 55 + 31 + 1 + 24 + 550 + 4 = 666.

155311245504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155311245503) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108381172 + ... + 108382604.

Almost surely, 2155311245504 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 155311245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243643288176).

155311245504 is an abundant number, since it is smaller than the sum of its proper divisors (331975330848).

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

155311245504 is a wasteful number, since it uses less digits than its factorization.

155311245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 155311245504 in words is "one hundred fifty-five billion, three hundred eleven million, two hundred forty-five thousand, five hundred four".