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12914205948 = 2233743339451
BaseRepresentation
bin11000000011011111…
…10010010011111100
31020100000100122011000
430001233302103330
5202422014042243
65533244130300
7635011640130
oct140157622374
936300318130
1012914205948
115527807086
122604b36990
1312aa6932a7
148a71d53c0
15508b565d3
hex301bf24fc

12914205948 has 96 divisors (see below), whose sum is σ = 38353656320. Its totient is φ = 3681158400.

The previous prime is 12914205943. The next prime is 12914205961. The reversal of 12914205948 is 84950241921.

It is a happy number.

12914205948 is a `hidden beast` number, since 1 + 29 + 14 + 20 + 594 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12914205943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307623 + ... + 347073.

Almost surely, 212914205948 is an apocalyptic number.

12914205948 is a gapful number since it is divisible by the number (18) 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 12914205948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19176828160).

12914205948 is an abundant number, since it is smaller than the sum of its proper divisors (25439450372).

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

12914205948 is a wasteful number, since it uses less digits than its factorization.

12914205948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39904 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12914205948 in words is "twelve billion, nine hundred fourteen million, two hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 433 756 866 1299 1732 2598 3031 3897 5196 6062 7794 9093 11691 12124 15588 18186 23382 27279 36372 39451 46764 54558 78902 81837 109116 118353 157804 163674 236706 276157 327348 355059 473412 552314 710118 828471 1065177 1104628 1420236 1656942 2130354 2485413 3313884 4260708 4970826 7456239 9941652 14912478 17082283 29824956 34164566 51246849 68329132 102493698 119575981 153740547 204987396 239151962 307481094 358727943 461221641 478303924 614962188 717455886 922443282 1076183829 1434911772 1844886564 2152367658 3228551487 4304735316 6457102974 12914205948