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10007122496 = 26753421459
BaseRepresentation
bin10010101000111100…
…01001001001000000
3221211102011111100112
421110132021021000
5130443310404441
64332555210452
7502662065150
oct112436111100
927742144315
1010007122496
11427583a278
121b33446a28
13c36312377
146ad098760
153d88184eb
hex254789240

10007122496 has 56 divisors (see below), whose sum is σ = 23122981440. Its totient is φ = 4207836672.

The previous prime is 10007122459. The next prime is 10007122501. The reversal of 10007122496 is 69422170001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186986 + ... + 234473.

Almost surely, 210007122496 is an apocalyptic number.

10007122496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10007122496 is an abundant number, since it is smaller than the sum of its proper divisors (13115858944).

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

10007122496 is an equidigital number, since it uses as much as digits as its factorization.

10007122496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421531 (or 421521 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 10007122496 its reverse (69422170001), we get a palindrome (79429292497).

The spelling of 10007122496 in words is "ten billion, seven million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 11872 23744 421459 842918 1685836 2950213 3371672 5900426 6743344 11800852 13486688 22337327 23601704 26973376 44674654 47203408 89349308 94406816 156361289 178698616 188813632 312722578 357397232 625445156 714794464 1250890312 1429588928 2501780624 5003561248 10007122496