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21942699120 = 2434513125849
BaseRepresentation
bin10100011011111000…
…110000010001110000
32002122020001121110000
4110123320300101300
5324414312332440
614025204110000
71404521602506
oct243370602160
962566047400
1021942699120
119340099691
124304695300
1320b900b744
1410c2306676
158865b0730
hex51be30470

21942699120 has 200 divisors, whose sum is σ = 76794973200. Its totient is φ = 5806494720.

The previous prime is 21942699101. The next prime is 21942699137. The reversal of 21942699120 is 2199624912.

21942699120 is a `hidden beast` number, since 2 + 19 + 426 + 99 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 835956 + ... + 861804.

It is an arithmetic number, because the mean of its divisors is an integer number (383974866).

Almost surely, 221942699120 is an apocalyptic number.

21942699120 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 21942699120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38397486600).

21942699120 is an abundant number, since it is smaller than the sum of its proper divisors (54852274080).

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

21942699120 is a wasteful number, since it uses less digits than its factorization.

21942699120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26005 (or 25990 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 21942699120 in words is "twenty-one billion, nine hundred forty-two million, six hundred ninety-nine thousand, one hundred twenty".