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2913891834100 = 2252132241455257
BaseRepresentation
bin101010011001110001011…
…111001101100011110100
3101022120021010120020001111
4222121301133031203310
5340220122302142400
610110342354404404
7420343645631452
oct52316137154364
911276233506044
102913891834100
11a23857a80205
123b0894590704
13181a180b9a50
14a1066c339d2
1550be4dc33ba
hex2a6717cd8f4

2913891834100 has 36 divisors (see below), whose sum is σ = 6809541073804. Its totient is φ = 1075898522880.

The previous prime is 2913891834013. The next prime is 2913891834101. The reversal of 2913891834100 is 14381983192.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1865956 + 2913889968144 = 1366^2 + 1707012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913891834101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120726329 + ... + 1120728928.

Almost surely, 22913891834100 is an apocalyptic number.

2913891834100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2913891834100 is an abundant number, since it is smaller than the sum of its proper divisors (3895649239704).

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

2913891834100 is a wasteful number, since it uses less digits than its factorization.

2913891834100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241455284 (or 2241455277 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 2913891834100 in words is "two trillion, nine hundred thirteen billion, eight hundred ninety-one million, eight hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2241455257 4482910514 8965821028 11207276285 22414552570 29138918341 44829105140 56036381425 58277836682 112072762850 116555673364 145694591705 224145525700 291389183410 582778366820 728472958525 1456945917050 2913891834100