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130825346737 = 2920812167813
BaseRepresentation
bin111100111010111001…
…1000101111010110001
3110111200102222012111111
41321311303011322301
54120412242043422
6140033401113321
712310655046031
oct1716563057261
9414612865444
10130825346737
1150534552378
1221431188841
13c44bb90697
146490d518c1
15360a545a77
hex1e75cc5eb1

130825346737 has 8 divisors (see below), whose sum is σ = 135401662440. Its totient is φ = 126253370880.

The previous prime is 130825346731. The next prime is 130825346753. The reversal of 130825346737 is 737643528031.

It can be written as a sum of positive squares in 4 ways, for example, as 27555668001 + 103269678736 = 165999^2 + 321356^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130825346737 - 231 = 128677863089 is a prime.

It is a super-3 number, since 3×1308253467373 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130825346731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023558 + ... + 1144255.

It is an arithmetic number, because the mean of its divisors is an integer number (16925207805).

Almost surely, 2130825346737 is an apocalyptic number.

It is an amenable number.

130825346737 is a deficient number, since it is larger than the sum of its proper divisors (4576315703).

130825346737 is a wasteful number, since it uses less digits than its factorization.

130825346737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169923.

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 130825346737 in words is "one hundred thirty billion, eight hundred twenty-five million, three hundred forty-six thousand, seven hundred thirty-seven".

Divisors: 1 29 2081 60349 2167813 62866577 4511218853 130825346737