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10066620516 = 22317379130201
BaseRepresentation
bin10010110000000010…
…00111000001100100
3221222120010022021220
421120001013001210
5131104023324031
64342522340340
7504313601601
oct113001070144
927876108256
1010066620516
1142a6387a97
121b4b35a6b0
13c457449b4
146b6d456a8
153ddb6c596
hex258047064

10066620516 has 48 divisors (see below), whose sum is σ = 24936287040. Its totient is φ = 3149798400.

The previous prime is 10066620493. The next prime is 10066620523. The reversal of 10066620516 is 61502666001.

It is a super-2 number, since 2×100666205162 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12216 + ... + 142416.

It is an arithmetic number, because the mean of its divisors is an integer number (519505980).

Almost surely, 210066620516 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 10066620516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468143520).

10066620516 is an abundant number, since it is smaller than the sum of its proper divisors (14869666524).

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

10066620516 is a wasteful number, since it uses less digits than its factorization.

10066620516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130604 (or 130602 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 10066620516 in words is "ten billion, sixty-six million, six hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 379 758 1137 1516 2274 4548 6443 12886 19329 25772 38658 77316 130201 260402 390603 520804 781206 1562412 2213417 4426834 6640251 8853668 13280502 26561004 49346179 98692358 148038537 197384716 296077074 592154148 838885043 1677770086 2516655129 3355540172 5033310258 10066620516