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21233474944704 = 26391110714321
BaseRepresentation
bin1001101001111110011011…
…01110110011111011000000
32210011220022101012000000000
410310333031232303323000
510240342124041212304
6113054305043000000
74321032206040621
oct464771556637300
983156271160000
1021233474944704
116847080061590
12246b233969000
13bb0400b69a19
145359c4509a48
1526c4e87a8939
hex134fcdbb3ec0

21233474944704 has 560 divisors, whose sum is σ = 69596530286976. Its totient is φ = 6373806796800.

The previous prime is 21233474944687. The next prime is 21233474944729. The reversal of 21233474944704 is 40744947433212.

21233474944704 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 4 + 74 + 94 + 470 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1482673864 + ... + 1482688184.

Almost surely, 221233474944704 is an apocalyptic number.

21233474944704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233474944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34798265143488).

21233474944704 is an abundant number, since it is smaller than the sum of its proper divisors (48363055342272).

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

21233474944704 is an equidigital number, since it uses as much as digits as its factorization.

21233474944704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14478 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 21233474944704 in words is "twenty-one trillion, two hundred thirty-three billion, four hundred seventy-four million, nine hundred forty-four thousand, seven hundred four".