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5139383040 = 283351121229
BaseRepresentation
bin1001100100101010…
…01100001100000000
3111021011122201011000
410302111030030000
541011140224130
62205550452000
7241234015011
oct46225141400
914234581130
105139383040
1121a8058600
12bb5204000
1363b9b116c
1436a7c5008
152012da260
hex13254c300

5139383040 has 432 divisors, whose sum is σ = 20062677600. Its totient is φ = 1244897280.

The previous prime is 5139383021. The next prime is 5139383057. The reversal of 5139383040 is 403839315.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 5139382986 and 5139383004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181146 + ... + 4182374.

Almost surely, 25139383040 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 5139383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031338800).

5139383040 is an abundant number, since it is smaller than the sum of its proper divisors (14923294560).

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

5139383040 is a wasteful number, since it uses less digits than its factorization.

5139383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5139383040 is about 71689.4904431605. The cubic root of 5139383040 is about 1725.7199867821.

The spelling of 5139383040 in words is "five billion, one hundred thirty-nine million, three hundred eighty-three thousand, forty".