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10066039880 = 23513181106949
BaseRepresentation
bin10010101111111101…
…11001010001001000
3221222112000210210212
421113332321101020
5131103401234010
64342502100252
7504305633021
oct112776712110
927875023725
1010066039880
1142a6020826
121b4b11a688
13c455a0620
146b6c33c48
153ddaa5505
hex257fb9448

10066039880 has 64 divisors (see below), whose sum is σ = 24525774000. Its totient is φ = 3696122880.

The previous prime is 10066039877. The next prime is 10066039889. The reversal of 10066039880 is 8893066001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 407474596 + 9658565284 = 20186^2 + 98278^2 .

It is not an unprimeable number, because it can be changed into a prime (10066039889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40646 + ... + 147594.

Almost surely, 210066039880 is an apocalyptic number.

10066039880 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 10066039880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262887000).

10066039880 is an abundant number, since it is smaller than the sum of its proper divisors (14459734120).

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

10066039880 is a wasteful number, since it uses less digits than its factorization.

10066039880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107154 (or 107150 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 10066039880 in words is "ten billion, sixty-six million, thirty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 3620 4706 7240 9412 11765 18824 23530 47060 94120 106949 213898 427796 534745 855592 1069490 1390337 2138980 2780674 4277960 5561348 6951685 11122696 13903370 19357769 27806740 38715538 55613480 77431076 96788845 154862152 193577690 251650997 387155380 503301994 774310760 1006603988 1258254985 2013207976 2516509970 5033019940 10066039880