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10900744008 = 23371157710223
BaseRepresentation
bin10100010011011110…
…00010011101001000
31001010200200011121120
422021233002131020
5134311042302013
65001400435240
7534062536530
oct121157023510
931120604546
1010900744008
114694205350
122142778b20
1310494b46ab
14755a344c0
1543bed5123
hex289bc2748

10900744008 has 128 divisors (see below), whose sum is σ = 34038558720. Its totient is φ = 2826178560.

The previous prime is 10900744003. The next prime is 10900744031. The reversal of 10900744008 is 80044700901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 10900744008.

It is not an unprimeable number, because it can be changed into a prime (10900744003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061185 + ... + 1071407.

It is an arithmetic number, because the mean of its divisors is an integer number (265926240).

Almost surely, 210900744008 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 10900744008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019279360).

10900744008 is an abundant number, since it is smaller than the sum of its proper divisors (23137814712).

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

10900744008 is a wasteful number, since it uses less digits than its factorization.

10900744008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10900744008 in words is "ten billion, nine hundred million, seven hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 577 616 924 1154 1731 1848 2308 3462 4039 4616 6347 6924 8078 10223 12117 12694 13848 16156 19041 20446 24234 25388 30669 32312 38082 40892 44429 48468 50776 61338 71561 76164 81784 88858 96936 112453 122676 133287 143122 152328 177716 214683 224906 245352 266574 286244 337359 355432 429366 449812 533148 572488 674718 787171 858732 899624 1066296 1349436 1574342 1717464 2361513 2698872 3148684 4723026 5898671 6297368 9446052 11797342 17696013 18892104 23594684 35392026 41290697 47189368 64885381 70784052 82581394 123872091 129770762 141568104 165162788 194656143 247744182 259541524 330325576 389312286 454197667 495488364 519083048 778624572 908395334 990976728 1362593001 1557249144 1816790668 2725186002 3633581336 5450372004 10900744008