Search a number
-
+
3483633734112 = 25375183978771
BaseRepresentation
bin110010101100011000110…
…000000101000111100000
3110100000212102110112112210
4302230120300011013200
5424033440213442422
611224205332522120
7506453456111520
oct62543060050740
913300772415483
103483633734112
1111234454743a4
12483199a80340
131c367506497c
14c0874685680
156093d63310c
hex32b18c051e0

3483633734112 has 48 divisors (see below), whose sum is σ = 10450901204352. Its totient is φ = 995323923840.

The previous prime is 3483633734083. The next prime is 3483633734149. The reversal of 3483633734112 is 2114373363843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2591988714 + ... + 2591990057.

It is an arithmetic number, because the mean of its divisors is an integer number (217727108424).

Almost surely, 23483633734112 is an apocalyptic number.

3483633734112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3483633734112 is an abundant number, since it is smaller than the sum of its proper divisors (6967267470240).

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

3483633734112 is a wasteful number, since it uses less digits than its factorization.

3483633734112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183978791 (or 5183978783 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 48.

The spelling of 3483633734112 in words is "three trillion, four hundred eighty-three billion, six hundred thirty-three million, seven hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5183978771 10367957542 15551936313 20735915084 31103872626 36287851397 41471830168 62207745252 72575702794 82943660336 108863554191 124415490504 145151405588 165887320672 217727108382 248830981008 290302811176 435454216764 497661962016 580605622352 870908433528 1161211244704 1741816867056 3483633734112