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19996870656 = 211372916033
BaseRepresentation
bin10010100111111010…
…000000100000000000
31220121121122021121010
4102213322000200000
5311423144330111
613104134200520
71305353411310
oct224772004000
956547567533
1019996870656
118531791994
123a60ab3140
131b68b50459
14d79b0d440
157c084daa6
hex4a7e80800

19996870656 has 192 divisors, whose sum is σ = 63032860800. Its totient is φ = 5516034048.

The previous prime is 19996870643. The next prime is 19996870669. The reversal of 19996870656 is 65607869991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19996870643) and next prime (19996870669).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239216 + ... + 1255248.

It is an arithmetic number, because the mean of its divisors is an integer number (328296150).

Almost surely, 219996870656 is an apocalyptic number.

19996870656 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 19996870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516430400).

19996870656 is an abundant number, since it is smaller than the sum of its proper divisors (43035990144).

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

19996870656 is a wasteful number, since it uses less digits than its factorization.

19996870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 19996870656 in words is "nineteen billion, nine hundred ninety-six million, eight hundred seventy thousand, six hundred fifty-six".