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10907040352 = 2513199359367
BaseRepresentation
bin10100010100001110…
…00011101001100000
31001011010112001120111
422022013003221200
5134314200242402
65002143421104
7534200212315
oct121207035140
931133461514
1010907040352
11469781593a
1221448b4794
13104a8aa540
147567d2d0c
1543c82a9d7
hex28a1c3a60

10907040352 has 96 divisors (see below), whose sum is σ = 23369472000. Its totient is φ = 4981160448.

The previous prime is 10907040323. The next prime is 10907040359. The reversal of 10907040352 is 25304070901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10907040359) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29719273 + ... + 29719639.

It is an arithmetic number, because the mean of its divisors is an integer number (243432000).

Almost surely, 210907040352 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 10907040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736000).

10907040352 is an abundant number, since it is smaller than the sum of its proper divisors (12462431648).

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

10907040352 is a wasteful number, since it uses less digits than its factorization.

10907040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 10907040352 in words is "ten billion, nine hundred seven million, forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 199 208 359 367 398 416 718 734 796 1436 1468 1592 2587 2872 2936 3184 4667 4771 5174 5744 5872 6368 9334 9542 10348 11488 11744 18668 19084 20696 37336 38168 41392 71441 73033 74672 76336 82784 131753 142882 146066 149344 152672 263506 285764 292132 527012 571528 584264 928733 949429 1054024 1143056 1168528 1712789 1857466 1898858 2108048 2286112 2337056 3425578 3714932 3797716 4216096 6851156 7429864 7595432 13702312 14859728 15190864 26218847 27404624 29719456 30381728 52437694 54809248 104875388 209750776 340845011 419501552 681690022 839003104 1363380044 2726760088 5453520176 10907040352