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20805092352 = 21035112691
BaseRepresentation
bin10011011000000101…
…001000010000000000
31222200221110012100000
4103120011020100000
5320102100423402
613320245200000
71334366236632
oct233005102000
958627405300
1020805092352
118906a28900
124047700000
131c67421645
1410151b8a52
1581b79bc1c
hex4d8148400

20805092352 has 396 divisors, whose sum is σ = 68576759888. Its totient is φ = 6295449600.

The previous prime is 20805092317. The next prime is 20805092381. The reversal of 20805092352 is 25329050802.

20805092352 is a `hidden beast` number, since 2 + 0 + 80 + 509 + 23 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30108327 + ... + 30109017.

Almost surely, 220805092352 is an apocalyptic number.

20805092352 is a gapful number since it is divisible by the number (22) 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 20805092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34288379944).

20805092352 is an abundant number, since it is smaller than the sum of its proper divisors (47771667536).

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

20805092352 is an equidigital number, since it uses as much as digits as its factorization.

20805092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20805092352 in words is "twenty billion, eight hundred five million, ninety-two thousand, three hundred fifty-two".