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22124125769641 = 726719472
BaseRepresentation
bin1010000011111001011001…
…01010000100111110101001
32220100001020100211210002021
411001330230222010332221
510344440202144112031
6115015403313104441
74442262314120200
oct501745452047651
986301210753067
1022124125769641
11705a875249815
122593978b58121
13c463b071ac7c
14566b55d86237
15285775134511
hex141f2ca84fa9

22124125769641 has 9 divisors (see below), whose sum is σ = 25736266237149. Its totient is φ = 18963508152204.

The previous prime is 22124125769621. The next prime is 22124125769723. The reversal of 22124125769641 is 14696752142122.

The square root of 22124125769641 is 4703629.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 22124125769641 - 27 = 22124125769513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22124125769621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32589430 + ... + 33261376.

It is an arithmetic number, because the mean of its divisors is an integer number (2859585137461).

Almost surely, 222124125769641 is an apocalyptic number.

22124125769641 is the 4703629-th square number.

22124125769641 is the 2351815-th centered octagonal number.

It is an amenable number.

22124125769641 is a deficient number, since it is larger than the sum of its proper divisors (3612140467508).

22124125769641 is an frugal number, since it uses more digits than its factorization.

22124125769641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343908 (or 671954 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 22124125769641 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred twenty-five million, seven hundred sixty-nine thousand, six hundred forty-one".

Divisors: 1 7 49 671947 4703629 32925403 451512770809 3160589395663 22124125769641