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10091835808 = 254322932027
BaseRepresentation
bin10010110011000010…
…10011000110100000
3222001022120101011121
421121201103012200
5131132002221213
64345223022024
7505041121555
oct113141230640
928038511147
1010091835808
11430963a67a
121b5789a914
13c4aa32ba2
146ba42aa2c
153e0e9d88d
hex2598531a0

10091835808 has 48 divisors (see below), whose sum is σ = 20419771680. Its totient is φ = 4906895616.

The previous prime is 10091835799. The next prime is 10091835811. The reversal of 10091835808 is 80853819001.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 299091 + ... + 331117.

It is an arithmetic number, because the mean of its divisors is an integer number (425411910).

Almost surely, 210091835808 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 10091835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209885840).

10091835808 is an abundant number, since it is smaller than the sum of its proper divisors (10327935872).

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

10091835808 is a wasteful number, since it uses less digits than its factorization.

10091835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32309 (or 32301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 10091835808 in words is "ten billion, ninety-one million, eight hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 43 86 172 229 344 458 688 916 1376 1832 3664 7328 9847 19694 32027 39388 64054 78776 128108 157552 256216 315104 512432 1024864 1377161 2754322 5508644 7334183 11017288 14668366 22034576 29336732 44069152 58673464 117346928 234693856 315369869 630739738 1261479476 2522958952 5045917904 10091835808