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20495019600 = 24335211172517
BaseRepresentation
bin10011000101100110…
…010010111001010000
31221220022222212111000
4103011212102321100
5313433211111400
613225411222000
71323612535506
oct230546227120
957808885430
1020495019600
1187679a4630
123b7b8a7900
131c18107b43
14dc5d42676
157ee44d600
hex4c5992e50

20495019600 has 240 divisors, whose sum is σ = 79579103040. Its totient is φ = 4968460800.

The previous prime is 20495019593. The next prime is 20495019631. The reversal of 20495019600 is 691059402.

20495019600 is a `hidden beast` number, since 2 + 0 + 49 + 5 + 0 + 1 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32542 + ... + 205058.

It is an arithmetic number, because the mean of its divisors is an integer number (331579596).

Almost surely, 220495019600 is an apocalyptic number.

20495019600 is a gapful number since it is divisible by the number (20) 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 20495019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39789551520).

20495019600 is an abundant number, since it is smaller than the sum of its proper divisors (59084083440).

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

20495019600 is a wasteful number, since it uses less digits than its factorization.

20495019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172555 (or 172538 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20495019600 in words is "twenty billion, four hundred ninety-five million, nineteen thousand, six hundred".