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15681931027680 = 25351722317328411
BaseRepresentation
bin1110010000110011101111…
…1011011010010011100000
32001112011210201212212201110
43210030323323122103200
54023413043320341210
653204102450103320
73205660604244411
oct344147373322340
961464721785643
1015681931027680
114aa67402688a5
12191331ab7ab40
13899a5208a308
143c301c157808
151c2dca28c420
hexe433beda4e0

15681931027680 has 576 divisors, whose sum is σ = 55074740894208. Its totient is φ = 3742839767040.

The previous prime is 15681931027639. The next prime is 15681931027681. The reversal of 15681931027680 is 8672013918651.

It is a self number, because there is not a number n which added to its sum of digits gives 15681931027680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15681931027681) 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 95 ways as a sum of consecutive naturals, for example, 551952675 + ... + 551981085.

It is an arithmetic number, because the mean of its divisors is an integer number (95615869608).

Almost surely, 215681931027680 is an apocalyptic number.

15681931027680 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 15681931027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27537370447104).

15681931027680 is an abundant number, since it is smaller than the sum of its proper divisors (39392809866528).

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

15681931027680 is a wasteful number, since it uses less digits than its factorization.

15681931027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28659 (or 28634 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 15681931027680 in words is "fifteen trillion, six hundred eighty-one billion, nine hundred thirty-one million, twenty-seven thousand, six hundred eighty".