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15139982445696 = 27321761711031733
BaseRepresentation
bin1101110001010000110101…
…0001101000110010000000
31222121100221102000102000100
43130110031101220302000
53441023141001230241
652111113435122400
73121553610304143
oct334241521506200
958540842012010
1015139982445696
114907915434929
1218462915a3400
1385a9042765c4
143a4ac9a5405a
151b3c5ba699b6
hexdc50d468c80

15139982445696 has 768 divisors, whose sum is σ = 48035537671680. Its totient is φ = 4558779187200.

The previous prime is 15139982445667. The next prime is 15139982445701. The reversal of 15139982445696 is 69654428993151.

15139982445696 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 9 + 9 + 82 + 4 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8736284446 + ... + 8736286178.

It is an arithmetic number, because the mean of its divisors is an integer number (62546273010).

Almost surely, 215139982445696 is an apocalyptic number.

15139982445696 is a gapful number since it is divisible by the number (16) 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 15139982445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017768835840).

15139982445696 is an abundant number, since it is smaller than the sum of its proper divisors (32895555225984).

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

15139982445696 is a wasteful number, since it uses less digits than its factorization.

15139982445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1990 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 15139982445696 in words is "fifteen trillion, one hundred thirty-nine billion, nine hundred eighty-two million, four hundred forty-five thousand, six hundred ninety-six".