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13855070592 = 2732114347541
BaseRepresentation
bin11001110011101001…
…11001100110000000
31022202120202111210200
430321310321212000
5211333344224332
610210454125200
71000225104546
oct147164714600
938676674720
1013855070592
11596a90a670
122828050800
1313ca596c2c
1495614bd96
1556155617c
hex339d39980

13855070592 has 384 divisors, whose sum is σ = 45536325120. Its totient is φ = 4006195200.

The previous prime is 13855070573. The next prime is 13855070611. The reversal of 13855070592 is 29507055831.

13855070592 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 50 + 7 + 0 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (13855070573) and next prime (13855070611).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×138550705922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25609842 + ... + 25610382.

It is an arithmetic number, because the mean of its divisors is an integer number (118584180).

Almost surely, 213855070592 is an apocalyptic number.

13855070592 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 13855070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22768162560).

13855070592 is an abundant number, since it is smaller than the sum of its proper divisors (31681254528).

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

13855070592 is a wasteful number, since it uses less digits than its factorization.

13855070592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 13855070592 in words is "thirteen billion, eight hundred fifty-five million, seventy thousand, five hundred ninety-two".