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21944985017472 = 27321117117186993
BaseRepresentation
bin1001111110101011101110…
…00010010101110010000000
32212200220211201220200021100
410333111313002111302000
510334021312131024342
6114401215325054400
74423321120625616
oct477256702256200
985626751820240
1021944985017472
116aa08a7a35210
1225651030b7400
13c32531b020ba
1455c2003396b6
15280c8d0a7e4c
hex13f577095c80

21944985017472 has 384 divisors, whose sum is σ = 73005267366720. Its totient is φ = 6253402521600.

The previous prime is 21944985017453. The next prime is 21944985017507. The reversal of 21944985017472 is 27471058944912.

21944985017472 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 498 + 5 + 0 + 1 + 74 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×219449850174722 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252218008 + ... + 252305000.

Almost surely, 221944985017472 is an apocalyptic number.

21944985017472 is a gapful number since it is divisible by the number (22) 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 21944985017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36502633683360).

21944985017472 is an abundant number, since it is smaller than the sum of its proper divisors (51060282349248).

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

21944985017472 is a wasteful number, since it uses less digits than its factorization.

21944985017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88212 (or 88197 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 21944985017472 in words is "twenty-one trillion, nine hundred forty-four billion, nine hundred eighty-five million, seventeen thousand, four hundred seventy-two".