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20499990624 = 253443193953
BaseRepresentation
bin10011000101111001…
…010000100001100000
31221220200100102110000
4103011321100201200
5313440444144444
613230105540000
71324003021341
oct230571204140
957820312400
1020499990624
11876a78a413
123b814a4600
131c19158689
14dc68780c8
157eead1469
hex4c5e50860

20499990624 has 240 divisors, whose sum is σ = 62076711312. Its totient is φ = 6632865792.

The previous prime is 20499990593. The next prime is 20499990653. The reversal of 20499990624 is 42609999402.

20499990624 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 9 + 9 + 9 + 0 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21510532 + ... + 21511484.

Almost surely, 220499990624 is an apocalyptic number.

20499990624 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 20499990624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31038355656).

20499990624 is an abundant number, since it is smaller than the sum of its proper divisors (41576720688).

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

20499990624 is a wasteful number, since it uses less digits than its factorization.

20499990624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 20499990624 in words is "twenty billion, four hundred ninety-nine million, nine hundred ninety thousand, six hundred twenty-four".