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10066738680 = 23325291019547
BaseRepresentation
bin10010110000000011…
…00011110111111000
3221222120100022101100
421120001203313320
5131104041114210
64342525051400
7504314603235
oct113001436770
927876308340
1010066738680
1142a6458849
121b4b3b6b60
13c4578670b
146b6d7678c
153ddb925c0
hex258063df8

10066738680 has 192 divisors, whose sum is σ = 34183749600. Its totient is φ = 2565964800.

The previous prime is 10066738673. The next prime is 10066738687. The reversal of 10066738680 is 8683766001.

It is an interprime number because it is at equal distance from previous prime (10066738673) and next prime (10066738687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066738687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049667 + ... + 1059213.

Almost surely, 210066738680 is an apocalyptic number.

10066738680 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 10066738680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091874800).

10066738680 is an abundant number, since it is smaller than the sum of its proper divisors (24117010920).

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

10066738680 is a wasteful number, since it uses less digits than its factorization.

10066738680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10066738680 in words is "ten billion, sixty-six million, seven hundred thirty-eight thousand, six hundred eighty".