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20091992016096 = 25337111331174699
BaseRepresentation
bin1001001000110000010000…
…00011000000010011100000
32122010202221110200010011000
410210120020003000103200
510113141344424003341
6110422044514152000
74142412202165350
oct444301003002340
978122843603130
1020091992016096
116446a69772320
122305b67582600
13b29888a16360
144d6659936b60
1524c98b0498b6
hex1246080c04e0

20091992016096 has 768 divisors, whose sum is σ = 78935980032000. Its totient is φ = 4801706956800.

The previous prime is 20091992016091. The next prime is 20091992016097. The reversal of 20091992016096 is 69061029919002.

20091992016096 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 1 + 9 + 9 + 20 + 1 + 609 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20091992016091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268935355 + ... + 269010053.

It is an arithmetic number, because the mean of its divisors is an integer number (102781224000).

Almost surely, 220091992016096 is an apocalyptic number.

20091992016096 is a gapful number since it is divisible by the number (26) 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 20091992016096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39467990016000).

20091992016096 is an abundant number, since it is smaller than the sum of its proper divisors (58843988015904).

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

20091992016096 is a wasteful number, since it uses less digits than its factorization.

20091992016096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75060 (or 75046 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 20091992016096 in words is "twenty trillion, ninety-one billion, nine hundred ninety-two million, sixteen thousand, ninety-six".