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12997232496 = 24321713274001
BaseRepresentation
bin11000001101011001…
…00000011101110000
31020112210120211011100
430012230200131300
5203104242414441
65545411444400
7640040440053
oct140654403560
936483524140
1012997232496
11556a665166
1226288b6700
1312c1943121
148b4248a9a
155110a6cb6
hex306b20770

12997232496 has 120 divisors (see below), whose sum is σ = 38552514624. Its totient is φ = 4073472000.

The previous prime is 12997232459. The next prime is 12997232497. The reversal of 12997232496 is 69423279921.

12997232496 is a `hidden beast` number, since 129 + 9 + 7 + 23 + 2 + 496 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12997232497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3246496 + ... + 3250496.

Almost surely, 212997232496 is an apocalyptic number.

12997232496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12997232496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276257312).

12997232496 is an abundant number, since it is smaller than the sum of its proper divisors (25555282128).

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

12997232496 is a wasteful number, since it uses less digits than its factorization.

12997232496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5350 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 12997232496 in words is "twelve billion, nine hundred ninety-seven million, two hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1327 2448 2654 3981 4001 5308 7962 8002 10616 11943 12003 15924 16004 21232 22559 23886 24006 31848 32008 36009 45118 47772 48012 63696 64016 67677 68017 72018 90236 95544 96024 135354 136034 144036 180472 191088 192048 203031 204051 270708 272068 288072 360944 406062 408102 541416 544136 576144 612153 812124 816204 1082832 1088272 1224306 1624248 1632408 2448612 3248496 3264816 4897224 5309327 9794448 10618654 15927981 21237308 31855962 42474616 47783943 63711924 84949232 90258559 95567886 127423848 180517118 191135772 254847696 270775677 361034236 382271544 541551354 722068472 764543088 812327031 1083102708 1444136944 1624654062 2166205416 3249308124 4332410832 6498616248 12997232496