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10001099968 = 263110747111
BaseRepresentation
bin10010101000001110…
…01010110011000000
3221210222211111222221
421110013022303000
5130440240144333
64332222140424
7502556642566
oct112407126300
927728744887
1010001099968
1142723a6482
121b31421714
13c34cb4042
146ac36ba36
153d8028d2d
hex2541cacc0

10001099968 has 56 divisors (see below), whose sum is σ = 20678022144. Its totient is φ = 4793913600.

The previous prime is 10001099929. The next prime is 10001099987. The reversal of 10001099968 is 86999010001.

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, 188733 + ... + 235843.

Almost surely, 210001099968 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 10001099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339011072).

10001099968 is an abundant number, since it is smaller than the sum of its proper divisors (10676922176).

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

10001099968 is a wasteful number, since it uses less digits than its factorization.

10001099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47261 (or 47251 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 10001099968 in words is "ten billion, one million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 214 248 428 496 856 992 1712 1984 3317 3424 6634 6848 13268 26536 47111 53072 94222 106144 188444 212288 376888 753776 1460441 1507552 2920882 3015104 5040877 5841764 10081754 11683528 20163508 23367056 40327016 46734112 80654032 93468224 156267187 161308064 312534374 322616128 625068748 1250137496 2500274992 5000549984 10001099968