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20668984776 = 233211219236189
BaseRepresentation
bin10011001111111101…
…111010110111001000
31222100110100012211200
4103033331322313020
5314312230003101
613254544024200
71331124320556
oct231775726710
958313305750
1020668984776
118847115200
12400a002060
131c45177c0b
1410010a8bd6
1580e863986
hex4cff7adc8

20668984776 has 576 divisors, whose sum is σ = 69464304000. Its totient is φ = 5519923200.

The previous prime is 20668984769. The next prime is 20668984781. The reversal of 20668984776 is 67748986602.

20668984776 is a `hidden beast` number, since 20 + 66 + 89 + 8 + 477 + 6 = 666.

It is a super-3 number, since 3×206689847763 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232235740 + ... + 232235828.

It is an arithmetic number, because the mean of its divisors is an integer number (120597750).

Almost surely, 220668984776 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 20668984776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152000).

20668984776 is an abundant number, since it is smaller than the sum of its proper divisors (48795319224).

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

20668984776 is a wasteful number, since it uses less digits than its factorization.

20668984776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 20668984776 in words is "twenty billion, six hundred sixty-eight million, nine hundred eighty-four thousand, seven hundred seventy-six".