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15372139191552 = 2836111317311093
BaseRepresentation
bin1101111110110001101011…
…1001010101110100000000
32000102120011210220001000000
43133230122321111310000
54003324120113112202
652405510244000000
73144412640135613
oct337543271256400
960376153801000
1015372139191552
114997318906150
121883282390000
13876781726440
143b203079c17a
151b9ce813d91c
hexdfb1ae55d00

15372139191552 has 2016 divisors, whose sum is σ = 59127586108416. Its totient is φ = 3912833433600.

The previous prime is 15372139191551. The next prime is 15372139191553. The reversal of 15372139191552 is 25519193127351.

15372139191552 is a `hidden beast` number, since 1 + 5 + 3 + 72 + 1 + 3 + 9 + 19 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (15372139191551) and next prime (15372139191553).

It is a super-2 number, since 2×153721391915522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15372139191551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14064170718 + ... + 14064171810.

It is an arithmetic number, because the mean of its divisors is an integer number (29329159776).

Almost surely, 215372139191552 is an apocalyptic number.

15372139191552 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 15372139191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29563793054208).

15372139191552 is an abundant number, since it is smaller than the sum of its proper divisors (43755446916864).

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

15372139191552 is a wasteful number, since it uses less digits than its factorization.

15372139191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1170 counting only the distinct ones).

The product of its digits is 2551500, while the sum is 54.

The spelling of 15372139191552 in words is "fifteen trillion, three hundred seventy-two billion, one hundred thirty-nine million, one hundred ninety-one thousand, five hundred fifty-two".