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20695191552 = 21234721967
BaseRepresentation
bin10011010001100001…
…111001000000000000
31222102021122122210000
4103101201321000000
5314340432112202
613301321440000
71331563140300
oct232141710000
958367578700
1020695191552
11885a9947a2
124016940000
131c4a722499
14100476b600
15811cdd91c
hex4d1879000

20695191552 has 780 divisors, whose sum is σ = 76830924720. Its totient is φ = 5518098432.

The previous prime is 20695191523. The next prime is 20695191593. The reversal of 20695191552 is 25519159602.

20695191552 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 5 + 1 + 91 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20695191498 and 20695191507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308883423 + ... + 308883489.

Almost surely, 220695191552 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 20695191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38415462360).

20695191552 is an abundant number, since it is smaller than the sum of its proper divisors (56135733168).

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

20695191552 is an equidigital number, since it uses as much as digits as its factorization.

20695191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 20695191552 in words is "twenty billion, six hundred ninety-five million, one hundred ninety-one thousand, five hundred fifty-two".