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21246429204 = 2232721121321931
BaseRepresentation
bin10011110010011000…
…101100100000010100
32000211200220102200100
4103302120230200110
5322003041213304
613432132414100
71351335445200
oct236230544024
960750812610
1021246429204
119013067800
12414b477330
1320079a7100
141057a5db00
158453c8439
hex4f262c814

21246429204 has 972 divisors, whose sum is σ = 80797691520. Its totient is φ = 4670265600.

The previous prime is 21246429203. The next prime is 21246429233. The reversal of 21246429204 is 40292464212.

21246429204 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 642 + 9 + 2 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21246429203) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 685368669 + ... + 685368699.

Almost surely, 221246429204 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 21246429204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40398845760).

21246429204 is an abundant number, since it is smaller than the sum of its proper divisors (59551262316).

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

21246429204 is a wasteful number, since it uses less digits than its factorization.

21246429204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21246429204 in words is "twenty-one billion, two hundred forty-six million, four hundred twenty-nine thousand, two hundred four".