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2663331372 = 22321322924851
BaseRepresentation
bin1001111010111111…
…0011011000101100
320212121112020210200
42132233303120230
520423303100442
61120140233500
7122666641332
oct23657633054
96777466720
102663331372
111147421309
12623b3b890
13335a18330
141b3a09b52
15108c4034c
hex9ebf362c

2663331372 has 72 divisors (see below), whose sum is σ = 7282133040. Its totient is φ = 815875200.

The previous prime is 2663331337. The next prime is 2663331409. The reversal of 2663331372 is 2731333662.

2663331372 is a `hidden beast` number, since 2 + 6 + 633 + 3 + 13 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94747 + ... + 119597.

Almost surely, 22663331372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663331372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641066520).

2663331372 is an abundant number, since it is smaller than the sum of its proper divisors (4618801668).

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

2663331372 is a wasteful number, since it uses less digits than its factorization.

2663331372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103 (or 25098 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 2663331372 is about 51607.4739935990. The cubic root of 2663331372 is about 1386.1441664597.

The spelling of 2663331372 in words is "two billion, six hundred sixty-three million, three hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 24851 26793 35724 49702 53586 74553 99404 107172 149106 223659 298212 323063 447318 646126 894636 969189 1292252 1938378 2907567 3876756 5690879 5815134 11381758 11630268 17072637 22763516 34145274 51217911 68290548 73981427 102435822 147962854 204871644 221944281 295925708 443888562 665832843 887777124 1331665686 2663331372