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20119679424 = 263413192827
BaseRepresentation
bin10010101111001110…
…011111000111000000
31220221011201121120000
4102233032133013000
5312201114220144
613124242320000
71311404311335
oct225716370700
956834647500
1020119679424
118595041a39
123a96059000
131b8841b970
14d8c15a98c
157cb50b769
hex4af39f1c0

20119679424 has 420 divisors, whose sum is σ = 67869154584. Its totient is φ = 5857754112.

The previous prime is 20119679389. The next prime is 20119679453. The reversal of 20119679424 is 42497691102.

20119679424 is a `hidden beast` number, since 201 + 19 + 6 + 7 + 9 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20119679424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24328099 + ... + 24328925.

Almost surely, 220119679424 is an apocalyptic number.

20119679424 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 20119679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33934577292).

20119679424 is an abundant number, since it is smaller than the sum of its proper divisors (47749475160).

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

20119679424 is a wasteful number, since it uses less digits than its factorization.

20119679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20119679424 in words is "twenty billion, one hundred nineteen million, six hundred seventy-nine thousand, four hundred twenty-four".