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12905078472 = 2332111343103283
BaseRepresentation
bin11000000010011001…
…11101111011001000
31020022101011220121100
430001030331323020
5202412200002342
65532320341400
7634541233326
oct140114757310
936271156540
1012905078472
115522642510
122601a74860
1312a8818910
148a5cdad16
15507e51e4c
hex30133dec8

12905078472 has 384 divisors, whose sum is σ = 42574371840. Its totient is φ = 3479293440.

The previous prime is 12905078423. The next prime is 12905078477. The reversal of 12905078472 is 27487050921.

It is a happy number.

12905078472 is a `hidden beast` number, since 12 + 90 + 507 + 8 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12905078477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45600843 + ... + 45601125.

It is an arithmetic number, because the mean of its divisors is an integer number (110870760).

Almost surely, 212905078472 is an apocalyptic number.

12905078472 is a gapful number since it is divisible by the number (12) 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 12905078472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287185920).

12905078472 is an abundant number, since it is smaller than the sum of its proper divisors (29669293368).

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

12905078472 is a wasteful number, since it uses less digits than its factorization.

12905078472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12905078472 in words is "twelve billion, nine hundred five million, seventy-eight thousand, four hundred seventy-two".