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21482319007944 = 23321124292653813
BaseRepresentation
bin1001110001001101111011…
…11111100101000011001000
32211001200121202012011222200
410320212331333211003020
510303431242131223234
6113404501402520200
74345021614502434
oct470467577450310
984050552164880
1021482319007944
1169326670453a3
1224ab501206060
13bcaa0a5c1562
14543a6d5bb9c4
15273c0ed8cd99
hex1389bdfe50c8

21482319007944 has 48 divisors (see below), whose sum is σ = 58181820063900. Its totient is φ = 7160706612864.

The previous prime is 21482319007943. The next prime is 21482319007951. The reversal of 21482319007944 is 44970091328412.

21482319007944 is a `hidden beast` number, since 2 + 1 + 482 + 3 + 1 + 90 + 0 + 79 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20810840372100 + 671478635844 = 4561890^2 + 819438^2 .

It is a super-2 number, since 2×214823190079442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21482319007943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6767982 + ... + 9421794.

Almost surely, 221482319007944 is an apocalyptic number.

21482319007944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21482319007944 is an abundant number, since it is smaller than the sum of its proper divisors (36699501055956).

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

21482319007944 is a wasteful number, since it uses less digits than its factorization.

21482319007944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766254 (or 2766247 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21482319007944 in words is "twenty-one trillion, four hundred eighty-two billion, three hundred nineteen million, seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 112429 224858 337287 449716 674574 899432 1011861 1349148 2023722 2653813 2698296 4047444 5307626 7961439 8094888 10615252 15922878 21230504 23884317 31845756 47768634 63691512 95537268 191074536 298365541777 596731083554 895096625331 1193462167108 1790193250662 2386924334216 2685289875993 3580386501324 5370579751986 7160773002648 10741159503972 21482319007944