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15068465408 = 28832113361
BaseRepresentation
bin11100000100010011…
…01000100100000000
31102220010222100120102
432002021220210000
5221330011343113
610531121301532
71042260562013
oct160211504400
942803870512
1015068465408
1164328350a7
122b064948a8
131561a9b229
14a2d36737a
155d2d3a758
hex382268900

15068465408 has 72 divisors (see below), whose sum is σ = 30593823456. Its totient is φ = 7405977600.

The previous prime is 15068465407. The next prime is 15068465431. The reversal of 15068465408 is 80456486051.

It is not an unprimeable number, because it can be changed into a prime (15068465407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4481648 + ... + 4485008.

Almost surely, 215068465408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15068465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296911728).

15068465408 is an abundant number, since it is smaller than the sum of its proper divisors (15525358048).

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

15068465408 is an equidigital number, since it uses as much as digits as its factorization.

15068465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 15068465408 in words is "fifteen billion, sixty-eight million, four hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 211 256 332 422 664 844 1328 1688 2656 3361 3376 5312 6722 6752 10624 13444 13504 17513 21248 26888 27008 35026 53776 54016 70052 107552 140104 215104 278963 280208 430208 557926 560416 709171 860416 1115852 1120832 1418342 2231704 2241664 2836684 4463408 4483328 5673368 8926816 11346736 17853632 22693472 35707264 45386944 58861193 71414528 90773888 117722386 181547776 235444772 470889544 941779088 1883558176 3767116352 7534232704 15068465408