Search a number
-
+
158047996932 = 223371719733883
BaseRepresentation
bin1001001100110001100…
…1010000110000000100
3120002221122012010012000
42103030121100300010
510042140241400212
6200334541025300
714263401544110
oct2231431206004
9502848163160
10158047996932
1161033a79391
1226769b55230
1311b99a29017
147914590740
1541a040b1dc
hex24cc650c04

158047996932 has 384 divisors, whose sum is σ = 523237478400. Its totient is φ = 40162977792.

The previous prime is 158047996903. The next prime is 158047996963. The reversal of 158047996932 is 239699740851.

158047996932 is a `hidden beast` number, since 1 + 580 + 47 + 9 + 9 + 6 + 9 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 158047996932.

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, 178989363 + ... + 178990245.

It is an arithmetic number, because the mean of its divisors is an integer number (1362597600).

It is a 1-persistent number, because it is pandigital, but 2⋅158047996932 = 316095993864 is not.

Almost surely, 2158047996932 is an apocalyptic number.

158047996932 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 158047996932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261618739200).

158047996932 is an abundant number, since it is smaller than the sum of its proper divisors (365189481468).

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

158047996932 is a wasteful number, since it uses less digits than its factorization.

158047996932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 158047996932 in words is "one hundred fifty-eight billion, forty-seven million, nine hundred ninety-six thousand, nine hundred thirty-two".