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5313695040 = 263351932369
BaseRepresentation
bin1001111001011100…
…01000110101000000
3111201022122200021000
410330232020311000
541340301220130
62235134532000
7245451443163
oct47456106500
914638580230
105313695040
112287495805
121043667000
13668b43064
143859dbada
1521176d260
hex13cb88d40

5313695040 has 224 divisors, whose sum is σ = 19732752000. Its totient is φ = 1342365696.

The previous prime is 5313695033. The next prime is 5313695081. The reversal of 5313695040 is 405963135.

5313695040 is a `hidden beast` number, since 531 + 36 + 9 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5313694986 and 5313695004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147976 + ... + 180344.

Almost surely, 25313695040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866376000).

5313695040 is an abundant number, since it is smaller than the sum of its proper divisors (14419056960).

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

5313695040 is a wasteful number, since it uses less digits than its factorization.

5313695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32414 (or 32398 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5313695040 is about 72895.0961313585. The cubic root of 5313695040 is about 1745.0138383098.

The spelling of 5313695040 in words is "five billion, three hundred thirteen million, six hundred ninety-five thousand, forty".