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13632048128 = 210173125261
BaseRepresentation
bin11001011001000100…
…01000110000000000
31022012001002210111102
430230202020300000
5210404301020003
610132410033532
7661546332356
oct145442106000
938161083442
1013632048128
115865a32586
1227854188a8
13139330b88a
149346957d6
1554bba0588
hex32c888c00

13632048128 has 88 divisors (see below), whose sum is σ = 29785716864. Its totient is φ = 6207897600.

The previous prime is 13632048113. The next prime is 13632048191. The reversal of 13632048128 is 82184023631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13632048091 and 13632048100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527018 + ... + 552278.

Almost surely, 213632048128 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 13632048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892858432).

13632048128 is an abundant number, since it is smaller than the sum of its proper divisors (16153668736).

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

13632048128 is a wasteful number, since it uses less digits than its factorization.

13632048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25329 (or 25311 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 13632048128 in words is "thirteen billion, six hundred thirty-two million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2108 2176 3968 4216 4352 7936 8432 8704 15872 16864 17408 25261 31744 33728 50522 67456 101044 134912 202088 269824 404176 429437 539648 783091 808352 858874 1566182 1616704 1717748 3132364 3233408 3435496 6264728 6466816 6870992 12529456 12933632 13312547 13741984 25058912 25867264 26625094 27483968 50117824 53250188 54967936 100235648 106500376 109935872 200471296 213000752 219871744 400942592 426001504 439743488 801885184 852003008 1704006016 3408012032 6816024064 13632048128