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20215516032 = 27351979433
BaseRepresentation
bin10010110100111100…
…000100101110000000
31221011212001121200000
4102310330010232000
5312400133003112
613141544400000
71313650023345
oct226474045600
957155047600
1020215516032
11863414a448
123b02176000
131ba223540a
14d9ab867cc
157d4b3c7dc
hex4b4f04b80

20215516032 has 384 divisors, whose sum is σ = 64454208000. Its totient is φ = 6288482304.

The previous prime is 20215516019. The next prime is 20215516037. The reversal of 20215516032 is 23061551202.

It is a happy number.

20215516032 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 5 + 51 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20215515987 and 20215516005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20215516037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46686888 + ... + 46687320.

It is an arithmetic number, because the mean of its divisors is an integer number (167849500).

Almost surely, 220215516032 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 20215516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227104000).

20215516032 is an abundant number, since it is smaller than the sum of its proper divisors (44238691968).

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

20215516032 is an equidigital number, since it uses as much as digits as its factorization.

20215516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20215516032 in words is "twenty billion, two hundred fifteen million, five hundred sixteen thousand, thirty-two".