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20256366456 = 233217317173103
BaseRepresentation
bin10010110111010111…
…111001111101111000
31221021200221000220200
4102313113321331320
5312441112211311
613150004122200
71314654162654
oct226727717570
957250830820
1020256366456
118655210a27
123b13996360
131baa839071
14da237ba64
157d850b556
hex4b75f9f78

20256366456 has 384 divisors, whose sum is σ = 62237859840. Its totient is φ = 5922201600.

The previous prime is 20256366437. The next prime is 20256366461. The reversal of 20256366456 is 65466365202.

20256366456 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 636 + 6 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196663701 + ... + 196663803.

It is an arithmetic number, because the mean of its divisors is an integer number (162077760).

Almost surely, 220256366456 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 20256366456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118929920).

20256366456 is an abundant number, since it is smaller than the sum of its proper divisors (41981493384).

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

20256366456 is a wasteful number, since it uses less digits than its factorization.

20256366456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 20256366456 in words is "twenty billion, two hundred fifty-six million, three hundred sixty-six thousand, four hundred fifty-six".