Search a number
-
+
156032472960 = 27335713671481
BaseRepresentation
bin1001000101010001000…
…0101001011110000000
3112220202011121220002000
42101110100221132000
510024023303113320
6155402541224000
714162426064660
oct2212420513600
9486664556060
10156032472960
116019a2993a1
12262a6b62000
13119382a79a0
1477a2a141a0
1540d34cdc90
hex2454429780

156032472960 has 1024 divisors, whose sum is σ = 690759014400. Its totient is φ = 32407879680.

The previous prime is 156032472881. The next prime is 156032472983. The reversal of 156032472960 is 69274230651.

156032472960 is a `hidden beast` number, since 1 + 5 + 60 + 32 + 472 + 96 + 0 = 666.

It is a super-2 number, since 2×1560324729602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105355420 + ... + 105356900.

It is an arithmetic number, because the mean of its divisors is an integer number (674569350).

Almost surely, 2156032472960 is an apocalyptic number.

156032472960 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 156032472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345379507200).

156032472960 is an abundant number, since it is smaller than the sum of its proper divisors (534726541440).

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

156032472960 is a wasteful number, since it uses less digits than its factorization.

156032472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 1560324 and 72960, that added together give a square (1633284 = 12782).

The spelling of 156032472960 in words is "one hundred fifty-six billion, thirty-two million, four hundred seventy-two thousand, nine hundred sixty".