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15996165120 = 210355132343
BaseRepresentation
bin11101110010111001…
…00001110000000000
31112021210121101100000
432321130201300000
5230230004240440
611203141200000
71104254105625
oct167134416000
945253541300
1015996165120
116869466681
123125100000
13167c042880
14aba65434c
156394d9730
hex3b9721c00

15996165120 has 1056 divisors, whose sum is σ = 66094060032. Its totient is φ = 3678732288.

The previous prime is 15996165109. The next prime is 15996165131. The reversal of 15996165120 is 2156169951.

It is a happy number.

15996165120 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 616 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (15996165109) and next prime (15996165131).

It is a super-2 number, since 2×159961651202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372003819 + ... + 372003861.

It is an arithmetic number, because the mean of its divisors is an integer number (62589072).

Almost surely, 215996165120 is an apocalyptic number.

15996165120 is a gapful number since it is divisible by the number (10) 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 15996165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33047030016).

15996165120 is an abundant number, since it is smaller than the sum of its proper divisors (50097894912).

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

15996165120 is a wasteful number, since it uses less digits than its factorization.

15996165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

It can be divided in two parts, 1599616 and 5120, that added together give a triangular number (1604736 = T1791).

The spelling of 15996165120 in words is "fifteen billion, nine hundred ninety-six million, one hundred sixty-five thousand, one hundred twenty".