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12455076704 = 257476071949
BaseRepresentation
bin10111001100110000…
…10110001101100000
31012011000102110020012
423212120112031200
5201001444423304
65415523304052
7620435255660
oct134630261540
935130373205
1012455076704
115311625524
1224b721b028
13123651b195
1486223c1a0
154cd6b316e
hex2e6616360

12455076704 has 96 divisors (see below), whose sum is σ = 28682035200. Its totient is φ = 5213035008.

The previous prime is 12455076703. The next prime is 12455076709. The reversal of 12455076704 is 40767055421.

Together with 16226958495 it forms a betrothed pair.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12455076703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389522 + ... + 6391470.

It is an arithmetic number, because the mean of its divisors is an integer number (298771200).

Almost surely, 212455076704 is an apocalyptic number.

12455076704 is a gapful number since it is divisible by the number (14) 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 12455076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341017600).

12455076704 is an abundant number, since it is smaller than the sum of its proper divisors (16226958496).

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

12455076704 is a wasteful number, since it uses less digits than its factorization.

12455076704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 12455076704 in words is "twelve billion, four hundred fifty-five million, seventy-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 607 658 752 1214 1316 1504 1949 2428 2632 3898 4249 4856 5264 7796 8498 9712 10528 13643 15592 16996 19424 27286 28529 31184 33992 54572 57058 62368 67984 91603 109144 114116 135968 183206 199703 218288 228232 366412 399406 436576 456464 641221 732824 798812 912928 1183043 1282442 1465648 1597624 2366086 2564884 2931296 3195248 4732172 5129768 6390496 8281301 9464344 10259536 16562602 18928688 20519072 33125204 37857376 55603021 66250408 111206042 132500816 222412084 265001632 389221147 444824168 778442294 889648336 1556884588 1779296672 3113769176 6227538352 12455076704