Search a number
-
+
155253998592 = 210367113773
BaseRepresentation
bin1001000010010111011…
…1000000010000000000
3112211201220210022000000
42100211313000100000
510020430010423332
6155153412000000
714134224133260
oct2204567002000
9484656708000
10155253998592
115a92a920050
122610a300000
1311842c20774
14772b48d7a0
154089ea9b7c
hex2425dc0400

155253998592 has 1232 divisors, whose sum is σ = 603982776192. Its totient is φ = 38698352640.

The previous prime is 155253998579. The next prime is 155253998693. The reversal of 155253998592 is 295899352551.

155253998592 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 5 + 39 + 9 + 8 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2126767068 + ... + 2126767140.

Almost surely, 2155253998592 is an apocalyptic number.

155253998592 is a gapful number since it is divisible by the number (12) 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 155253998592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301991388096).

155253998592 is an abundant number, since it is smaller than the sum of its proper divisors (448728777600).

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

155253998592 is an equidigital number, since it uses as much as digits as its factorization.

155253998592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its digits is 43740000, while the sum is 63.

The spelling of 155253998592 in words is "one hundred fifty-five billion, two hundred fifty-three million, nine hundred ninety-eight thousand, five hundred ninety-two".