Search a number
-
+
10707138456 = 2337271235177
BaseRepresentation
bin10011111100011000…
…11111011110011000
31000122012100222201120
421332030133132120
5133412011412311
64530243045240
7526222114050
oct117614373630
930565328646
1010707138456
1145a499a663
1220a9970820
131018358ab1
14738038560
15429ee0706
hex27e31f798

10707138456 has 64 divisors (see below), whose sum is σ = 30704839680. Its totient is φ = 3047880960.

The previous prime is 10707138451. The next prime is 10707138467. The reversal of 10707138456 is 65483170701.

It is a super-2 number, since 2×107071384562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10707138451) 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, 72061 + ... + 163116.

It is an arithmetic number, because the mean of its divisors is an integer number (479763120).

Almost surely, 210707138456 is an apocalyptic number.

It is an amenable number.

10707138456 is an abundant number, since it is smaller than the sum of its proper divisors (19997701224).

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

10707138456 is a wasteful number, since it uses less digits than its factorization.

10707138456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235464 (or 235460 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10707138456 in words is "ten billion, seven hundred seven million, one hundred thirty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 271 542 813 1084 1626 1897 2168 3252 3794 5691 6504 7588 11382 15176 22764 45528 235177 470354 705531 940708 1411062 1646239 1881416 2822124 3292478 4938717 5644248 6584956 9877434 13169912 19754868 39509736 63732967 127465934 191198901 254931868 382397802 446130769 509863736 764795604 892261538 1338392307 1529591208 1784523076 2676784614 3569046152 5353569228 10707138456