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10907553216 = 263749116529
BaseRepresentation
bin10100010100010010…
…00000110111000000
31001011011111010002110
422022021000313000
5134314313200331
65002202415320
7534204446460
oct121211006700
931134433073
1010907553216
11469803619a
122144b01540
13104aa29b01
147568c7ba0
1543c8cc946
hex28a240dc0

10907553216 has 112 divisors (see below), whose sum is σ = 33051536640. Its totient is φ = 3109908480.

The previous prime is 10907553211. The next prime is 10907553233. The reversal of 10907553216 is 61235570901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10907553211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651640 + ... + 668168.

Almost surely, 210907553216 is an apocalyptic number.

10907553216 is a gapful number since it is divisible by the number (16) 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 10907553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525768320).

10907553216 is an abundant number, since it is smaller than the sum of its proper divisors (22143983424).

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

10907553216 is a wasteful number, since it uses less digits than its factorization.

10907553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 10907553216 in words is "ten billion, nine hundred seven million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 491 672 982 1344 1473 1964 2946 3437 3928 5892 6874 7856 10311 11784 13748 15712 16529 20622 23568 27496 31424 33058 41244 47136 49587 54992 66116 82488 94272 99174 109984 115703 132232 164976 198348 219968 231406 264464 329952 347109 396696 462812 528928 659904 694218 793392 925624 1057856 1388436 1586784 1851248 2776872 3173568 3702496 5553744 7404992 8115739 11107488 16231478 22214976 24347217 32462956 48694434 56810173 64925912 97388868 113620346 129851824 170430519 194777736 227240692 259703648 340861038 389555472 454481384 519407296 681722076 779110944 908962768 1363444152 1558221888 1817925536 2726888304 3635851072 5453776608 10907553216