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10490296704 = 27344361667
BaseRepresentation
bin10011100010100010…
…10011100110000000
31000002002100021202120
421301101103212000
5132441003443304
64452535244240
7520650023256
oct116121234600
930062307676
1010490296704
1144a35541a8
122049219680
13cb2455a74
147173105d6
15415e5b0d9
hex271453980

10490296704 has 64 divisors (see below), whose sum is σ = 27928203840. Its totient is φ = 3488815616.

The previous prime is 10490296699. The next prime is 10490296763. The reversal of 10490296704 is 40769209401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×104902967042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139279 + ... + 200945.

It is an arithmetic number, because the mean of its divisors is an integer number (436378185).

Almost surely, 210490296704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10490296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964101920).

10490296704 is an abundant number, since it is smaller than the sum of its proper divisors (17437907136).

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

10490296704 is an equidigital number, since it uses as much as digits as its factorization.

10490296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62127 (or 62115 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10490296704 in words is "ten billion, four hundred ninety million, two hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 443 886 1329 1772 2658 3544 5316 7088 10632 14176 21264 28352 42528 56704 61667 85056 123334 170112 185001 246668 370002 493336 740004 986672 1480008 1973344 2960016 3946688 5920032 7893376 11840064 23680128 27318481 54636962 81955443 109273924 163910886 218547848 327821772 437095696 655643544 874191392 1311287088 1748382784 2622574176 3496765568 5245148352 10490296704