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5431983942 = 2371182114321
BaseRepresentation
bin1010000111100010…
…10111111101000110
3112000120020101010110
411003301113331012
542111041441232
62255002133450
7251416046610
oct50361277506
915016211113
105431983942
112338238a30
1210771b1286
136874bb1a8
143975cddb0
1521bd36acc
hex143c57f46

5431983942 has 64 divisors (see below), whose sum is σ = 13562131968. Its totient is φ = 1409088000.

The previous prime is 5431983917. The next prime is 5431983943. The reversal of 5431983942 is 2493891345.

It is a super-2 number, since 2×54319839422 = 59012899092291718728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5431983891 and 5431983900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431983943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372142 + ... + 386462.

It is an arithmetic number, because the mean of its divisors is an integer number (211908312).

Almost surely, 25431983942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431983942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781065984).

5431983942 is an abundant number, since it is smaller than the sum of its proper divisors (8130148026).

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

5431983942 is a wasteful number, since it uses less digits than its factorization.

5431983942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15165.

The product of its digits is 933120, while the sum is 48.

The square root of 5431983942 is about 73701.9941521259. The cubic root of 5431983942 is about 1757.8675902453.

The spelling of 5431983942 in words is "five billion, four hundred thirty-one million, nine hundred eighty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 821 1642 2463 4926 5747 9031 11494 14321 17241 18062 27093 28642 34482 42963 54186 63217 85926 100247 126434 157531 189651 200494 300741 315062 379302 472593 601482 945186 1102717 2205434 3308151 6616302 11757541 23515082 35272623 70545246 82302787 129332951 164605574 246908361 258665902 387998853 493816722 775997706 905330657 1810661314 2715991971 5431983942