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20296145700 = 2234526141077
BaseRepresentation
bin10010111001101111…
…101001101100100100
31221101110210000210000
4102321233221230210
5313031303130300
613153544501300
71315646251305
oct227157515444
957343700700
1020296145700
118675710736
123b2517a830
131bb5b5628c
14da77747ac
157dbc67c00
hex4b9be9b24

20296145700 has 180 divisors, whose sum is σ = 66872272852. Its totient is φ = 5323449600.

The previous prime is 20296145699. The next prime is 20296145719. The reversal of 20296145700 is 754169202.

20296145700 is a `hidden beast` number, since 2 + 0 + 29 + 61 + 4 + 570 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 649638144 + 19646507556 = 25488^2 + 140166^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 473562 + ... + 514638.

Almost surely, 220296145700 is an apocalyptic number.

20296145700 is a gapful number since it is divisible by the number (20) 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 20296145700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436136426).

20296145700 is an abundant number, since it is smaller than the sum of its proper divisors (46576127152).

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

20296145700 is a wasteful number, since it uses less digits than its factorization.

20296145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41164 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20296145700 in words is "twenty billion, two hundred ninety-six million, one hundred forty-five thousand, seven hundred".