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20119665384 = 23337213315389
BaseRepresentation
bin10010101111001110…
…011011101011101000
31220221011200220022000
4102233032123223220
5312201113243014
613124242131000
71311404222400
oct225716335350
956834626260
1020119665384
118595032435
123a96050a60
131b88415460
14d8c155800
157cb507509
hex4af39bae8

20119665384 has 768 divisors, whose sum is σ = 74462976000. Its totient is φ = 4981616640.

The previous prime is 20119665361. The next prime is 20119665409. The reversal of 20119665384 is 48356691102.

20119665384 is a `hidden beast` number, since 20 + 1 + 1 + 96 + 6 + 538 + 4 = 666.

It is a super-3 number, since 3×201196653843 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226063612 + ... + 226063700.

It is an arithmetic number, because the mean of its divisors is an integer number (96957000).

Almost surely, 220119665384 is an apocalyptic number.

20119665384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20119665384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488000).

20119665384 is an abundant number, since it is smaller than the sum of its proper divisors (54343310616).

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

20119665384 is a wasteful number, since it uses less digits than its factorization.

20119665384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20119665384 in words is "twenty billion, one hundred nineteen million, six hundred sixty-five thousand, three hundred eighty-four".