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13051901952 = 211341941101
BaseRepresentation
bin11000010011111010…
…00011100000000000
31020200121110022120000
430021331003200000
5203212241330302
65555043320000
7641303223165
oct141175034000
936617408500
1013051901952
115598505131
122643080000
131300074a0b
148bb5da06c
15515ca531c
hex309f43800

13051901952 has 480 divisors, whose sum is σ = 42454011600. Its totient is φ = 3981312000.

The previous prime is 13051901923. The next prime is 13051901981. The reversal of 13051901952 is 25910915031.

13051901952 is a `hidden beast` number, since 130 + 519 + 0 + 1 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13051901923) and next prime (13051901981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129226702 + ... + 129226802.

Almost surely, 213051901952 is an apocalyptic number.

13051901952 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 13051901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227005800).

13051901952 is an abundant number, since it is smaller than the sum of its proper divisors (29402109648).

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

13051901952 is a wasteful number, since it uses less digits than its factorization.

13051901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 13051901952 in words is "thirteen billion, fifty-one million, nine hundred one thousand, nine hundred fifty-two".