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20562791040 = 27325111922931
BaseRepresentation
bin10011001001101000…
…110100101010000000
31222002001112000102100
4103021220310222000
5314103033303130
613240231550400
71325364561051
oct231150645200
958061460370
1020562791040
1187a2183290
123b9a52b400
131c2917619c
14dd0d44728
15805388c60
hex4c9a34a80

20562791040 has 1152 divisors, whose sum is σ = 87299596800. Its totient is φ = 4412620800.

The previous prime is 20562791003. The next prime is 20562791057. The reversal of 20562791040 is 4019726502.

20562791040 is a `hidden beast` number, since 2 + 0 + 562 + 7 + 91 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 20562790986 and 20562791004.

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 143 ways as a sum of consecutive naturals, for example, 663315825 + ... + 663315855.

It is an arithmetic number, because the mean of its divisors is an integer number (75780900).

Almost surely, 220562791040 is an apocalyptic number.

20562791040 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 20562791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43649798400).

20562791040 is an abundant number, since it is smaller than the sum of its proper divisors (66736805760).

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

20562791040 is a wasteful number, since it uses less digits than its factorization.

20562791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20562791040 in words is "twenty billion, five hundred sixty-two million, seven hundred ninety-one thousand, forty".