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19914569136 = 243271122331229
BaseRepresentation
bin10010100011000000…
…000011010110110000
31220101212202221010200
4102203000003112300
5311241112203021
613052034155200
71303334021220
oct224300032660
956355687120
1019914569136
11849a289600
123a39422b00
131b54a95627
14d6cc08080
157b84e3126
hex4a30035b0

19914569136 has 720 divisors, whose sum is σ = 75741818880. Its totient is φ = 4767206400.

The previous prime is 19914569117. The next prime is 19914569153. The reversal of 19914569136 is 63196541991.

It is a happy number.

19914569136 is a `hidden beast` number, since 19 + 91 + 456 + 91 + 3 + 6 = 666.

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, 86963070 + ... + 86963298.

Almost surely, 219914569136 is an apocalyptic number.

19914569136 is a gapful number since it is divisible by the number (16) 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 19914569136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870909440).

19914569136 is an abundant number, since it is smaller than the sum of its proper divisors (55827249744).

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

19914569136 is a wasteful number, since it uses less digits than its factorization.

19914569136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The spelling of 19914569136 in words is "nineteen billion, nine hundred fourteen million, five hundred sixty-nine thousand, one hundred thirty-six".