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10672912840 = 235266822821
BaseRepresentation
bin10011111000010011…
…11011100111001000
31000112210222011000011
421330021323213020
5133324231202330
64523021321304
7525325155652
oct117411734710
930483864004
1010672912840
114587643427
12209a406234
131011234655
147336896d2
15426ece82a
hex27c27b9c8

10672912840 has 16 divisors (see below), whose sum is σ = 24014053980. Its totient is φ = 4269165120.

The previous prime is 10672912837. The next prime is 10672912937. The reversal of 10672912840 is 4821927601.

It can be written as a sum of positive squares in 2 ways, for example, as 10653955524 + 18957316 = 103218^2 + 4354^2 .

It is a super-2 number, since 2×106729128402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 266822821 = 10672912840 / (1 + 0 + 6 + 7 + 2 + 9 + 1 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10672912793 and 10672912802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133411371 + ... + 133411450.

Almost surely, 210672912840 is an apocalyptic number.

10672912840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672912840 is an abundant number, since it is smaller than the sum of its proper divisors (13341141140).

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

10672912840 is a wasteful number, since it uses less digits than its factorization.

10672912840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266822832 (or 266822828 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 10672912840 in words is "ten billion, six hundred seventy-two million, nine hundred twelve thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 266822821 533645642 1067291284 1334114105 2134582568 2668228210 5336456420 10672912840