Search a number
-
+
21995681051520 = 2734511831493119
BaseRepresentation
bin1010000000001010001001…
…10000010111001110000000
32212212202200211110001010000
411000011010300113032000
510340334123322122040
6114440402033040000
74430064324044301
oct500050460271600
985782624401100
1021995681051520
117010352588a10
122572ab10b6000
13c37250b22c97
1456084d2907a8
15282258ada130
hex140144c17380

21995681051520 has 1280 divisors, whose sum is σ = 87333966720000. Its totient is φ = 5231008235520.

The previous prime is 21995681051483. The next prime is 21995681051579. The reversal of 21995681051520 is 2515018659912.

21995681051520 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 5 + 6 + 8 + 105 + 1 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7052156521 + ... + 7052159639.

It is an arithmetic number, because the mean of its divisors is an integer number (68229661500).

Almost surely, 221995681051520 is an apocalyptic number.

21995681051520 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 21995681051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666983360000).

21995681051520 is an abundant number, since it is smaller than the sum of its proper divisors (65338285668480).

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

21995681051520 is a wasteful number, since it uses less digits than its factorization.

21995681051520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 21995681051520 in words is "twenty-one trillion, nine hundred ninety-five billion, six hundred eighty-one million, fifty-one thousand, five hundred twenty".