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21974130360 = 2336573133
BaseRepresentation
bin10100011101110000…
…101001111010111000
32002201102012111000000
4110131300221322320
5330000334132420
614032245513000
71405353012000
oct243560517270
962642174000
1021974130360
119356907416
124313112760
1320c2695000
1410c6569000
1588921d690
hex51dc29eb8

21974130360 has 896 divisors, whose sum is σ = 93648240000. Its totient is φ = 4636300032.

The previous prime is 21974130337. The next prime is 21974130389. The reversal of 21974130360 is 6303147912.

21974130360 is a `hidden beast` number, since 219 + 74 + 13 + 0 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1690317714 + ... + 1690317726.

It is an arithmetic number, because the mean of its divisors is an integer number (104518125).

Almost surely, 221974130360 is an apocalyptic number.

21974130360 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 21974130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46824120000).

21974130360 is an abundant number, since it is smaller than the sum of its proper divisors (71674109640).

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

21974130360 is an frugal number, since it uses more digits than its factorization.

21974130360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 21974130360 in words is "twenty-one billion, nine hundred seventy-four million, one hundred thirty thousand, three hundred sixty".