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21913809984 = 26371143331
BaseRepresentation
bin10100011010001010…
…100011010001000000
32002120012200220000000
4110122022203101000
5324334413404414
614022253000000
71404021211563
oct243212432100
962505626000
1021913809984
119325857870
1242b6a83000
1320b3035291
1410bc5464da
15883ca5b09
hex51a2a3440

21913809984 has 448 divisors, whose sum is σ = 73021301760. Its totient is φ = 6466521600.

The previous prime is 21913809979. The next prime is 21913810003. The reversal of 21913809984 is 48990831912.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21913809984.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66204699 + ... + 66205029.

Almost surely, 221913809984 is an apocalyptic number.

21913809984 is a gapful number since it is divisible by the number (24) 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 21913809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36510650880).

21913809984 is an abundant number, since it is smaller than the sum of its proper divisors (51107491776).

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

21913809984 is an equidigital number, since it uses as much as digits as its factorization.

21913809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 21913809984 in words is "twenty-one billion, nine hundred thirteen million, eight hundred nine thousand, nine hundred eighty-four".