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20216556468 = 2232172343127263
BaseRepresentation
bin10010110101000000…
…000010101110110100
31221011221000110212200
4102311000002232310
5312400414301333
613142022544500
71313661615603
oct226500025664
957157013780
1020216556468
1186347a0109
123b02598130
131ba250ab64
14d9ad77a3a
157d4c95c13
hex4b5002bb4

20216556468 has 288 divisors, whose sum is σ = 58450968576. Its totient is φ = 5856592896.

The previous prime is 20216556457. The next prime is 20216556509. The reversal of 20216556468 is 86465561202.

20216556468 is a `hidden beast` number, since 2 + 0 + 21 + 6 + 5 + 564 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76868905 + ... + 76869167.

It is an arithmetic number, because the mean of its divisors is an integer number (202954752).

Almost surely, 220216556468 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 20216556468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225484288).

20216556468 is an abundant number, since it is smaller than the sum of its proper divisors (38234412108).

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

20216556468 is a wasteful number, since it uses less digits than its factorization.

20216556468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20216556468 in words is "twenty billion, two hundred sixteen million, five hundred fifty-six thousand, four hundred sixty-eight".