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15114400452 = 2232797526781
BaseRepresentation
bin11100001001110001…
…10111001011000100
31110000100102002121100
432010320313023010
5221423241303302
610535442020100
71043356166304
oct160470671304
943010362540
1015114400452
116456759848
122b19947630
13156b462328
14a354c3604
155d6db0d1c
hex384e372c4

15114400452 has 36 divisors (see below), whose sum is σ = 38253855276. Its totient is φ = 5031802560.

The previous prime is 15114400403. The next prime is 15114400523. The reversal of 15114400452 is 25400441151.

It can be written as a sum of positive squares in 2 ways, for example, as 12289052736 + 2825347716 = 110856^2 + 53154^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234699 + ... + 292082.

It is an arithmetic number, because the mean of its divisors is an integer number (1062607091).

Almost surely, 215114400452 is an apocalyptic number.

15114400452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15114400452 is an abundant number, since it is smaller than the sum of its proper divisors (23139454824).

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

15114400452 is a wasteful number, since it uses less digits than its factorization.

15114400452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527588 (or 527583 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 15114400452 in words is "fifteen billion, one hundred fourteen million, four hundred thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 797 1594 2391 3188 4782 7173 9564 14346 28692 526781 1053562 1580343 2107124 3160686 4741029 6321372 9482058 18964116 419844457 839688914 1259533371 1679377828 2519066742 3778600113 5038133484 7557200226 15114400452