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20195856384 = 212311217247
BaseRepresentation
bin10010110011110001…
…000101000000000000
31221010111001210200220
4102303301011000000
5312330114401014
613140003143040
71313320642524
oct226361050000
957114053626
1020195856384
118624041900
123ab7674a80
131b9b140ba2
14d98309d84
157d30576a9
hex4b3c45000

20195856384 has 468 divisors, whose sum is σ = 64213770432. Its totient is φ = 5637406720.

The previous prime is 20195856341. The next prime is 20195856403. The reversal of 20195856384 is 48365859102.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 429699049 + ... + 429699095.

Almost surely, 220195856384 is an apocalyptic number.

20195856384 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 20195856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32106885216).

20195856384 is an abundant number, since it is smaller than the sum of its proper divisors (44017914048).

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

20195856384 is a wasteful number, since it uses less digits than its factorization.

20195856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 20195856384 in words is "twenty billion, one hundred ninety-five million, eight hundred fifty-six thousand, three hundred eighty-four".