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13288073936 = 241748853213
BaseRepresentation
bin11000110000000011…
…11110101011010000
31021022001212002121112
430120001332223100
5204203221331221
610034321312452
7650201523224
oct143001765320
937261762545
1013288073936
1156a9853695
1226aa195728
131339c85357
14900b16784
1552b8a715b
hex31807ead0

13288073936 has 20 divisors (see below), whose sum is σ = 27260093412. Its totient is φ = 6253211136.

The previous prime is 13288073891. The next prime is 13288073969. The reversal of 13288073936 is 63937088231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4523369536 + 8764704400 = 67256^2 + 93620^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24426335 + ... + 24426878.

Almost surely, 213288073936 is an apocalyptic number.

13288073936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13288073936 is an abundant number, since it is smaller than the sum of its proper divisors (13972019476).

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

13288073936 is a wasteful number, since it uses less digits than its factorization.

13288073936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48853238 (or 48853232 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 13288073936 in words is "thirteen billion, two hundred eighty-eight million, seventy-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 48853213 97706426 195412852 390825704 781651408 830504621 1661009242 3322018484 6644036968 13288073936