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20319199488 = 283371923312
BaseRepresentation
bin10010111011000111…
…100110000100000000
31221110002011021122000
4102323013212010000
5313103203340423
613200130544000
71316346226440
oct227307460400
957402137560
1020319199488
118687727355
123b30a38000
131bba868683
14daa856120
157ddcbd843
hex4bb1e6100

20319199488 has 864 divisors, whose sum is σ = 77940172800. Its totient is φ = 5091102720.

The previous prime is 20319199487. The next prime is 20319199501. The reversal of 20319199488 is 88499191302.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20319199487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 655458033 + ... + 655458063.

Almost surely, 220319199488 is an apocalyptic number.

20319199488 is a gapful number since it is divisible by the number (28) 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 20319199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38970086400).

20319199488 is an abundant number, since it is smaller than the sum of its proper divisors (57620973312).

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

20319199488 is a wasteful number, since it uses less digits than its factorization.

20319199488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 20319199488 in words is "twenty billion, three hundred nineteen million, one hundred ninety-nine thousand, four hundred eighty-eight".