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10042720662 = 2313897611901
BaseRepresentation
bin10010101101001011…
…11100000110010110
3221220220011001212010
421112211330012112
5131031414030122
64340310205050
7503603500662
oct112645740626
927826131763
1010042720662
114293943747
121b43353786
13c407c7480
146b3ac38a2
153db9eae0c
hex25697c196

10042720662 has 64 divisors (see below), whose sum is σ = 21913778880. Its totient is φ = 3049728000.

The previous prime is 10042720657. The next prime is 10042720697. The reversal of 10042720662 is 26602724001.

10042720662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5281912 + ... + 5283812.

It is an arithmetic number, because the mean of its divisors is an integer number (342402795).

Almost surely, 210042720662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042720662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956889440).

10042720662 is an abundant number, since it is smaller than the sum of its proper divisors (11871058218).

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

10042720662 is a wasteful number, since it uses less digits than its factorization.

10042720662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10042720662 in words is "ten billion, forty-two million, seven hundred twenty thousand, six hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 761 1157 1522 1901 2283 2314 3471 3802 4566 5703 6942 9893 11406 19786 24713 29679 49426 59358 67729 74139 135458 148278 169189 203187 338378 406374 507567 880477 1015134 1446661 1760954 2199457 2641431 2893322 4339983 4398914 5282862 6598371 8679966 13196742 18806593 37613186 56419779 112839558 128752829 257505658 386258487 772516974 1673786777 3347573554 5021360331 10042720662