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3775238094816 = 253213108465607
BaseRepresentation
bin110110111011111101101…
…110011011111111100000
3111100220112211111220022100
4312323331232123333200
5443323141423013231
612010153114210400
7536515630223526
oct66737556337740
914326484456270
103775238094816
111226084536621
1250b7bb723a00
132150076a7976
14d0a18772316
1568308be51e6
hex36efdb9bfe0

3775238094816 has 36 divisors (see below), whose sum is σ = 10735833332952. Its totient is φ = 1258412698176.

The previous prime is 3775238094781. The next prime is 3775238094847. The reversal of 3775238094816 is 6184908325773.

3775238094816 is a `hidden beast` number, since 3 + 7 + 7 + 523 + 8 + 0 + 94 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6554232516 + ... + 6554233091.

It is an arithmetic number, because the mean of its divisors is an integer number (298217592582).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3775238094816 = 7550476189632, but 3⋅3775238094816 = 11325714284448 is not.

Almost surely, 23775238094816 is an apocalyptic number.

3775238094816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3775238094816 is an abundant number, since it is smaller than the sum of its proper divisors (6960595238136).

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

3775238094816 is a wasteful number, since it uses less digits than its factorization.

3775238094816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108465623 (or 13108465612 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3775238094816 in words is "three trillion, seven hundred seventy-five billion, two hundred thirty-eight million, ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13108465607 26216931214 39325396821 52433862428 78650793642 104867724856 117976190463 157301587284 209735449712 235952380926 314603174568 419470899424 471904761852 629206349136 943809523704 1258412698272 1887619047408 3775238094816