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10066062700 = 22522331141179
BaseRepresentation
bin10010101111111101…
…11110110101101100
3221222112001222010001
421113332332311230
5131103403001300
64342502354044
7504306056401
oct112776766554
927875058101
1010066062700
1142a6036991
121b4b12b924
13c455aab25
146b6c3c2a8
153ddaac16a
hex257fbed6c

10066062700 has 72 divisors (see below), whose sum is σ = 23528494080. Its totient is φ = 3727099200.

The previous prime is 10066062689. The next prime is 10066062733. The reversal of 10066062700 is 726066001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711 + ... + 141889.

It is an arithmetic number, because the mean of its divisors is an integer number (326784640).

Almost surely, 210066062700 is an apocalyptic number.

10066062700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066062700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764247040).

10066062700 is an abundant number, since it is smaller than the sum of its proper divisors (13462431380).

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

10066062700 is a wasteful number, since it uses less digits than its factorization.

10066062700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141247 (or 141240 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10066062700 in words is "ten billion, sixty-six million, sixty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 1150 1426 1550 2300 2852 3100 3565 7130 14260 17825 35650 71300 141179 282358 564716 705895 1411790 2823580 3247117 3529475 4376549 6494234 7058950 8753098 12988468 14117900 16235585 17506196 21882745 32471170 43765490 64942340 81177925 87530980 100660627 109413725 162355850 201321254 218827450 324711700 402642508 437654900 503303135 1006606270 2013212540 2516515675 5033031350 10066062700