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151493333992 = 2371113193672713
BaseRepresentation
bin1000110100010110110…
…1001101001111101000
3112111000211102201222221
42031011231031033220
54440224243141432
6153332311523424
713642101043450
oct2150555151750
9474024381887
10151493333992
1159280046080
122543a989574
1311393a79540
147491c3ad60
153e19c5db97
hex2345b4d3e8

151493333992 has 256 divisors, whose sum is σ = 402696806400. Its totient is φ = 51455969280.

The previous prime is 151493333987. The next prime is 151493334043. The reversal of 151493333992 is 299333394151.

It is a happy number.

151493333992 is digitally balanced in base 2, 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 (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55838428 + ... + 55841140.

It is an arithmetic number, because the mean of its divisors is an integer number (1573034400).

Almost surely, 2151493333992 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 151493333992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201348403200).

151493333992 is an abundant number, since it is smaller than the sum of its proper divisors (251203472408).

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

151493333992 is a wasteful number, since it uses less digits than its factorization.

151493333992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3132 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 52.

The spelling of 151493333992 in words is "one hundred fifty-one billion, four hundred ninety-three million, three hundred thirty-three thousand, nine hundred ninety-two".