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10109480960 = 2125493627
BaseRepresentation
bin10010110101001001…
…00111000000000000
3222002112202211202202
421122210213000000
5131201011342320
64351053132332
7505344112265
oct113244470000
928075684682
1010109480960
1143185a1747
121b6178a0a8
13c515a04c7
146bc90126c
153e27d6b75
hex25a927000

10109480960 has 52 divisors (see below), whose sum is σ = 24259841688. Its totient is φ = 4043784192.

The previous prime is 10109480957. The next prime is 10109480963. The reversal of 10109480960 is 6908490101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10109480957) and next prime (10109480963).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109480963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226334 + ... + 267293.

Almost surely, 210109480960 is an apocalyptic number.

10109480960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10109480960 is an abundant number, since it is smaller than the sum of its proper divisors (14150360728).

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

10109480960 is an frugal number, since it uses more digits than its factorization.

10109480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493656 (or 493634 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 10109480960 in words is "ten billion, one hundred nine million, four hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 493627 987254 1974508 2468135 3949016 4936270 7898032 9872540 15796064 19745080 31592128 39490160 63184256 78980320 126368512 157960640 252737024 315921280 505474048 631842560 1010948096 1263685120 2021896192 2527370240 5054740480 10109480960