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19906436472 = 233133183137181
BaseRepresentation
bin10010100010100001…
…000001110101111000
31220101022110202012220
4102202201001311320
5311232021431342
613051144004040
71303204626636
oct224241016570
956338422186
1019906436472
11849573439a
123a36760620
131b531a89c0
14d6bacc356
157b79385ec
hex4a2841d78

19906436472 has 256 divisors, whose sum is σ = 56709918720. Its totient is φ = 5781196800.

The previous prime is 19906436471. The next prime is 19906436479. The reversal of 19906436472 is 27463460991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19906436471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109980222 + ... + 109980402.

It is an arithmetic number, because the mean of its divisors is an integer number (221523120).

Almost surely, 219906436472 is an apocalyptic number.

19906436472 is a gapful number since it is divisible by the number (12) 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 19906436472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354959360).

19906436472 is an abundant number, since it is smaller than the sum of its proper divisors (36803482248).

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

19906436472 is a wasteful number, since it uses less digits than its factorization.

19906436472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 19906436472 in words is "nineteen billion, nine hundred six million, four hundred thirty-six thousand, four hundred seventy-two".