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15147972672 = 2637174091621
BaseRepresentation
bin11100001101110001…
…11011100001000000
31110002200120202000220
432012320323201000
5222010340111142
610543041343040
71044244433430
oct160670734100
943080522026
1015147972672
1164736aa088
122b29037a80
1315753b8251
14a39b422c0
155d9ce32ec
hex386e3b840

15147972672 has 224 divisors, whose sum is σ = 48647543040. Its totient is φ = 4060938240.

The previous prime is 15147972667. The next prime is 15147972673. The reversal of 15147972672 is 27627974151.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×151479726722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (15147972673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9344022 + ... + 9345642.

Almost surely, 215147972672 is an apocalyptic number.

15147972672 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 15147972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323771520).

15147972672 is an abundant number, since it is smaller than the sum of its proper divisors (33499570368).

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

15147972672 is a wasteful number, since it uses less digits than its factorization.

15147972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2059 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 15147972672 in words is "fifteen billion, one hundred forty-seven million, nine hundred seventy-two thousand, six hundred seventy-two".