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10706157630 = 23257432271741
BaseRepresentation
bin10011111100010001…
…10000000000111110
31000122010112011021200
421332020300000332
5133411234021010
64530210040330
7526210560360
oct117610600076
930563464250
1010706157630
1145a438a763
1220a95790a6
1310180a451c
14737c60d30
15429d99cc0
hex27e23003e

10706157630 has 192 divisors, whose sum is σ = 32714592768. Its totient is φ = 2378315520.

The previous prime is 10706157593. The next prime is 10706157647. The reversal of 10706157630 is 3675160701.

10706157630 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 6 + 15 + 7 + 630 = 666.

It is a super-2 number, since 2×107061576302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6148560 + ... + 6150300.

It is an arithmetic number, because the mean of its divisors is an integer number (170388504).

Almost surely, 210706157630 is an apocalyptic number.

10706157630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10706157630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357296384).

10706157630 is an abundant number, since it is smaller than the sum of its proper divisors (22008435138).

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

10706157630 is a wasteful number, since it uses less digits than its factorization.

10706157630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10706157630 in words is "ten billion, seven hundred six million, one hundred fifty-seven thousand, six hundred thirty".