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12268436736 = 28320837669
BaseRepresentation
bin10110110110100000…
…10111110100000000
31011200000020011022210
423123100113310000
5200111204433421
65345215102120
7613010664063
oct133320276400
934600204283
1012268436736
115226238116
122464811940
131206960c2a
148455368da
154bc0e7576
hex2db417d00

12268436736 has 72 divisors (see below), whose sum is σ = 32671868320. Its totient is φ = 4086982656.

The previous prime is 12268436717. The next prime is 12268436737. The reversal of 12268436736 is 63763486221.

It is a super-3 number, since 3×122684367363 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268436737) 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, 1595910 + ... + 1603578.

Almost surely, 212268436736 is an apocalyptic number.

12268436736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12268436736 is an abundant number, since it is smaller than the sum of its proper divisors (20403431584).

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

12268436736 is an equidigital number, since it uses as much as digits as its factorization.

12268436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9757 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 12268436736 in words is "twelve billion, two hundred sixty-eight million, four hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2083 4166 6249 7669 8332 12498 15338 16664 23007 24996 30676 33328 46014 49992 61352 66656 92028 99984 122704 133312 184056 199968 245408 266624 368112 399936 490816 533248 736224 799872 981632 1472448 1599744 1963264 2944896 5889792 15974527 31949054 47923581 63898108 95847162 127796216 191694324 255592432 383388648 511184864 766777296 1022369728 1533554592 2044739456 3067109184 4089478912 6134218368 12268436736