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315082500096 = 211374133153
BaseRepresentation
bin1001001010111000110…
…00010110100000000000
31010010021122022102021210
410211130120112200000
520130242110000341
6400425155250120
731523016030000
oct4453430264000
91103248272253
10315082500096
11111697947911
12510945a9940
13239347a1c90
14113702c0000
1582e186cc16
hex495c616800

315082500096 has 960 divisors, whose sum is σ = 1109938152960. Its totient is φ = 78900756480.

The previous prime is 315082500091. The next prime is 315082500137. The reversal of 315082500096 is 690005280513.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (315082500091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5944952806 + ... + 5944952858.

It is an arithmetic number, because the mean of its divisors is an integer number (1156185576).

Almost surely, 2315082500096 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 315082500096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554969076480).

315082500096 is an abundant number, since it is smaller than the sum of its proper divisors (794855652864).

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

315082500096 is an equidigital number, since it uses as much as digits as its factorization.

315082500096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 315082500096 in words is "three hundred fifteen billion, eighty-two million, five hundred thousand, ninety-six".