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10075776608 = 251991118191
BaseRepresentation
bin10010110001001000…
…00010011001100000
3222000012100111002102
421120210002121200
5131113344322413
64343450505532
7504454455002
oct113044023140
928005314072
1010075776608
114300571107
121b524352a8
13c475cc3c1
146b824a372
153de87a458
hex258902660

10075776608 has 48 divisors (see below), whose sum is σ = 20904791040. Its totient is φ = 4767235200.

The previous prime is 10075776593. The next prime is 10075776653. The reversal of 10075776608 is 80667757001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 544793 + ... + 562983.

It is an arithmetic number, because the mean of its divisors is an integer number (435516480).

Almost surely, 210075776608 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 10075776608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452395520).

10075776608 is an abundant number, since it is smaller than the sum of its proper divisors (10829014432).

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

10075776608 is a wasteful number, since it uses less digits than its factorization.

10075776608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 10075776608 in words is "ten billion, seventy-five million, seven hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 911 1822 3644 7288 14576 17309 18191 29152 34618 36382 69236 72764 138472 145528 276944 291056 345629 553888 582112 691258 1382516 2765032 5530064 11060128 16572001 33144002 66288004 132576008 265152016 314868019 530304032 629736038 1259472076 2518944152 5037888304 10075776608