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12738265408 = 261130835869
BaseRepresentation
bin10111101110100001…
…01000000101000000
31012212202021221002201
423313100220011000
5202041443443113
65504001122544
7630444320011
oct136720500500
935782257081
1012738265408
115447467380
122576029454
1312800b106b
1488bab7008
154e84a0cdd
hex2f7428140

12738265408 has 56 divisors (see below), whose sum is σ = 27589093920. Its totient is φ = 5787256320.

The previous prime is 12738265387. The next prime is 12738265409. The reversal of 12738265408 is 80456283721.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738265409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2167498 + ... + 2173366.

Almost surely, 212738265408 is an apocalyptic number.

It is an amenable number.

12738265408 is an abundant number, since it is smaller than the sum of its proper divisors (14850828512).

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

12738265408 is a wasteful number, since it uses less digits than its factorization.

12738265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 12738265408 in words is "twelve billion, seven hundred thirty-eight million, two hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3083 5869 6166 11738 12332 23476 24664 33913 46952 49328 64559 67826 93904 98656 129118 135652 187808 197312 258236 271304 375616 516472 542608 1032944 1085216 2065888 2170432 4131776 18094127 36188254 72376508 144753016 199035397 289506032 398070794 579012064 796141588 1158024128 1592283176 3184566352 6369132704 12738265408