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31990298760 = 233757217439
BaseRepresentation
bin11101110010110001…
…010011100010001000
310001120110101120000000
4131302301103202020
51011004004030020
622410211043000
72211515024100
oct356261234210
9101513346000
1031990298760
1112626764a42
1262495a0460
13302a823884
1417968da200
15c73722090
hex772c53888

31990298760 has 768 divisors, whose sum is σ = 133265088000. Its totient is φ = 6866270208.

The previous prime is 31990298759. The next prime is 31990298807. The reversal of 31990298760 is 6789209913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 31990298697 and 31990298706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72870621 + ... + 72871059.

It is an arithmetic number, because the mean of its divisors is an integer number (173522250).

Almost surely, 231990298760 is an apocalyptic number.

31990298760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31990298760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66632544000).

31990298760 is an abundant number, since it is smaller than the sum of its proper divisors (101274789240).

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

31990298760 is a wasteful number, since it uses less digits than its factorization.

31990298760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 31990298760 in words is "thirty-one billion, nine hundred ninety million, two hundred ninety-eight thousand, seven hundred sixty".