Search a number
-
+
152473087992000 = 263531719127154873
BaseRepresentation
bin100010101010110001101000…
…001111110110000011000000
3201222212021200122211200221010
4202222301220033312003000
5124441104341011221000
61300141100350400520
744054550154635306
oct4252615017660300
9658767618750833
10152473087992000
114464552322a616
1215126380800140
1367101c5868459
142991a45c34276
15129629558bd50
hex8aac683f60c0

152473087992000 has 896 divisors, whose sum is σ = 565560794972160. Its totient is φ = 35967968870400.

The previous prime is 152473087991977. The next prime is 152473087992011. The reversal of 152473087992000 is 299780374251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 984426564 + ... + 984581436.

Almost surely, 2152473087992000 is an apocalyptic number.

152473087992000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152473087992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282780397486080).

152473087992000 is an abundant number, since it is smaller than the sum of its proper divisors (413087706980160).

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

152473087992000 is a wasteful number, since it uses less digits than its factorization.

152473087992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155066 (or 155046 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 152473087992000 in words is "one hundred fifty-two trillion, four hundred seventy-three billion, eighty-seven million, nine hundred ninety-two thousand".