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20465582976 = 2732311972909
BaseRepresentation
bin10011000011110110…
…000000001110000000
31221211021121100000200
4103003312000032000
5313403142123401
613222440245200
71323104404446
oct230366001600
957737540020
1020465582976
118752319443
123b71a70800
131c11c9c417
14dc207cb96
157eba86686
hex4c3d80380

20465582976 has 192 divisors, whose sum is σ = 61121174400. Its totient is φ = 6566031360.

The previous prime is 20465582971. The next prime is 20465582981. The reversal of 20465582976 is 67928556402.

20465582976 is a `hidden beast` number, since 20 + 46 + 558 + 29 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20465582971) and next prime (20465582981).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20465582971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7033810 + ... + 7036718.

It is an arithmetic number, because the mean of its divisors is an integer number (318339450).

Almost surely, 220465582976 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 20465582976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30560587200).

20465582976 is an abundant number, since it is smaller than the sum of its proper divisors (40655591424).

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

20465582976 is a wasteful number, since it uses less digits than its factorization.

20465582976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 20465582976 in words is "twenty billion, four hundred sixty-five million, five hundred eighty-two thousand, nine hundred seventy-six".