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21204669024 = 25337111718749
BaseRepresentation
bin10011101111111001…
…011001001001100000
32000201210022210111000
4103233321121021200
5321411343402044
613424041352000
71350320466330
oct235771311140
960653283430
1021204669024
118aa1534760
124139498600
131ccc145346
1410522ad0c0
158418c9d69
hex4efe59260

21204669024 has 384 divisors, whose sum is σ = 81648000000. Its totient is φ = 5183447040.

The previous prime is 21204669023. The next prime is 21204669029. The reversal of 21204669024 is 42096640212.

It is a super-2 number, since 2×212046690242 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21204669024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204669023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1121602 + ... + 1140350.

It is an arithmetic number, because the mean of its divisors is an integer number (212625000).

Almost surely, 221204669024 is an apocalyptic number.

21204669024 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 21204669024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000000).

21204669024 is an abundant number, since it is smaller than the sum of its proper divisors (60443330976).

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

21204669024 is a wasteful number, since it uses less digits than its factorization.

21204669024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18789 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21204669024 in words is "twenty-one billion, two hundred four million, six hundred sixty-nine thousand, twenty-four".