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5456937960 = 2332515158161
BaseRepresentation
bin1010001010100001…
…00100001111101000
3112002022012011121100
411011100210033220
542133434003320
62301253041400
7252141131055
oct50520441750
915068164540
105456937960
112350332291
121083626260
1368c717496
1439aa4802c
1521e115790
hex1454243e8

5456937960 has 48 divisors (see below), whose sum is σ = 17735049540. Its totient is φ = 1455183360.

The previous prime is 5456937943. The next prime is 5456938027. The reversal of 5456937960 is 697396545.

5456937960 is a `hidden beast` number, since 5 + 4 + 569 + 3 + 79 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5440242564 + 16695396 = 73758^2 + 4086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5456937897 and 5456937906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7578721 + ... + 7579440.

Almost surely, 25456937960 is an apocalyptic number.

It is an amenable number.

5456937960 is an abundant number, since it is smaller than the sum of its proper divisors (12278111580).

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

5456937960 is a wasteful number, since it uses less digits than its factorization.

5456937960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15158178 (or 15158171 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5456937960 is about 73871.0901503423. The cubic root of 5456937960 is about 1760.5553042864. Note that the first 3 decimals are identical.

It can be divided in two parts, 54569 and 37960, that added together give a palindrome (92529).

The spelling of 5456937960 in words is "five billion, four hundred fifty-six million, nine hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 15158161 30316322 45474483 60632644 75790805 90948966 121265288 136423449 151581610 181897932 227372415 272846898 303163220 363795864 454744830 545693796 606326440 682117245 909489660 1091387592 1364234490 1818979320 2728468980 5456937960