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5657400203841 = 3447256232
BaseRepresentation
bin101001001010011011101…
…0101000101101001000001
3202000211201221120122210000
41102110313111011221001
51220142323423010331
620010550200230213
71122506436203211
oct122246725055101
922024657518700
105657400203841
111891320a21851
12774537a6b369
1332064b97a719
14157b690d2241
159c2669520e6
hex52537545a41

5657400203841 has 45 divisors (see below), whose sum is σ = 8636352073041. Its totient is φ = 3690696850488.

The previous prime is 5657400203831. The next prime is 5657400203941. The reversal of 5657400203841 is 1483020047565.

The square root of 5657400203841 is 2378529.

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

5657400203841 is a `hidden beast` number, since 5 + 6 + 574 + 0 + 0 + 2 + 0 + 38 + 41 = 666.

It is not a de Polignac number, because 5657400203841 - 27 = 5657400203713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5657400203831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1006114956 + ... + 1006120578.

Almost surely, 25657400203841 is an apocalyptic number.

5657400203841 is the 2378529-th square number.

5657400203841 is the 1189265-th centered octagonal number.

It is an amenable number.

5657400203841 is a deficient number, since it is larger than the sum of its proper divisors (2978951869200).

5657400203841 is an frugal number, since it uses more digits than its factorization.

5657400203841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 5657400 and 203841, that added together give a square (5861241 = 24212).

The spelling of 5657400203841 in words is "five trillion, six hundred fifty-seven billion, four hundred million, two hundred three thousand, eight hundred forty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 2209 3807 5623 6627 16869 19881 50607 59643 151821 178929 264281 455463 792843 2378529 7135587 12421207 21406761 31618129 37263621 94854387 111790863 284563161 335372589 853689483 1006117767 1486052063 2561068449 4458156189 13374468567 40123405701 69844446961 120370217103 209533340883 628600022649 1885800067947 5657400203841