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21938677517456 = 2471390314089121
BaseRepresentation
bin1001111110011111111110…
…00101001000110010010000
32212200022120011020110212122
410333033333011020302100
510333420402421024311
6114354253405313412
74423005611023010
oct477177705106220
985608504213778
1021938677517456
116a99160578087
122563a42865868
13c31a6811087b
1455bba2763c40
15280a1e47e0db
hex13f3ff148c90

21938677517456 has 40 divisors (see below), whose sum is σ = 48581997767424. Its totient is φ = 9401613419520.

The previous prime is 21938677517453. The next prime is 21938677517501. The reversal of 21938677517456 is 65471577683912.

21938677517456 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 21938677517456.

It is not an unprimeable number, because it can be changed into a prime (21938677517453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5487425 + ... + 8601696.

Almost surely, 221938677517456 is an apocalyptic number.

It is an amenable number.

21938677517456 is an abundant number, since it is smaller than the sum of its proper divisors (26643320249968).

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

21938677517456 is a wasteful number, since it uses less digits than its factorization.

21938677517456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14103039 (or 14103033 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 71.

The spelling of 21938677517456 in words is "twenty-one trillion, nine hundred thirty-eight billion, six hundred seventy-seven million, five hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 13903 27806 55612 97321 111224 194642 222448 389284 778568 1557136 14089121 28178242 56356484 98623847 112712968 197247694 225425936 394495388 788990776 1577981552 195881049263 391762098526 783524197052 1371167344841 1567048394104 2742334689682 3134096788208 5484669379364 10969338758728 21938677517456