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5131763560 = 2357113171757
BaseRepresentation
bin1001100011110000…
…00111111101101000
3111020122022121012001
410301320013331220
541002212413220
62205115300344
7241112161540
oct46170077550
914218277161
105131763560
1121a3823a10
12bb274a6b4
1363a243cb1
143697a0320
152007d280a
hex131e07f68

5131763560 has 256 divisors, whose sum is σ = 15089172480. Its totient is φ = 1524096000.

The previous prime is 5131763557. The next prime is 5131763617. The reversal of 5131763560 is 653671315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6778702 + ... + 6779458.

It is an arithmetic number, because the mean of its divisors is an integer number (58942080).

Almost surely, 25131763560 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 5131763560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544586240).

5131763560 is an abundant number, since it is smaller than the sum of its proper divisors (9957408920).

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

5131763560 is a wasteful number, since it uses less digits than its factorization.

5131763560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 5131763560 is about 71636.3284933001. The cubic root of 5131763560 is about 1724.8667331058.

The spelling of 5131763560 in words is "five billion, one hundred thirty-one million, seven hundred sixty-three thousand, five hundred sixty".