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10108706816 = 21313234127
BaseRepresentation
bin10010110101000011…
…01010000000000000
3222002111022111211202
421122201222000000
5131200312104231
64351024400332
7505334406305
oct113241520000
928074274752
1010108706816
11431811305a
121b614760a8
13c5138c030
146bc77d0ac
153e26d25cb
hex25a86a000

10108706816 has 112 divisors (see below), whose sum is σ = 22723352064. Its totient is φ = 4461625344.

The previous prime is 10108706809. The next prime is 10108706837. The reversal of 10108706816 is 61860780101.

It is a self number, because there is not a number n which added to its sum of digits gives 10108706816.

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, 2447345 + ... + 2451471.

It is an arithmetic number, because the mean of its divisors is an integer number (202887072).

Almost surely, 210108706816 is an apocalyptic number.

10108706816 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 10108706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361676032).

10108706816 is an abundant number, since it is smaller than the sum of its proper divisors (12614645248).

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

10108706816 is an equidigital number, since it uses as much as digits as its factorization.

10108706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The spelling of 10108706816 in words is "ten billion, one hundred eight million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2048 2392 2944 3328 4096 4127 4784 5888 6656 8192 8254 9568 11776 13312 16508 19136 23552 26624 33016 38272 47104 53248 53651 66032 76544 94208 94921 106496 107302 132064 153088 188416 189842 214604 264128 306176 379684 429208 528256 612352 759368 858416 1056512 1224704 1233973 1518736 1716832 2113024 2449408 2467946 3037472 3433664 4226048 4935892 6074944 6867328 8452096 9871784 12149888 13734656 16904192 19743568 24299776 27469312 33808384 39487136 48599552 54938624 78974272 97199104 109877248 157948544 194398208 219754496 315897088 388796416 439508992 631794176 777592832 1263588352 2527176704 5054353408 10108706816