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315328097694720 = 21035112589728771
BaseRepresentation
bin100011110110010100000101…
…1010000000011010000000000
31112100111001221021222202221210
41013230220023100003100000
5312312313421002212340
63034351421150050120
7123263463134240415
oct10754501320032000
91470431837882853
10315328097694720
1191522993620200
122b448845aa9940
13106c4409688356
1457c1d65d9010c
15266c61a295180
hex11eca0b403400

315328097694720 has 528 divisors, whose sum is σ = 1108805943438144. Its totient is φ = 76427555635200.

The previous prime is 315328097694707. The next prime is 315328097694733. The reversal of 315328097694720 is 27496790823513.

It is an interprime number because it is at equal distance from previous prime (315328097694707) and next prime (315328097694733).

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10959913935 + ... + 10959942705.

It is a 1-persistent number, because it is pandigital, but 2⋅315328097694720 = 630656195389440 is not.

Almost surely, 2315328097694720 is an apocalyptic number.

315328097694720 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 315328097694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554402971719072).

315328097694720 is an abundant number, since it is smaller than the sum of its proper divisors (793477845743424).

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

315328097694720 is a wasteful number, since it uses less digits than its factorization.

315328097694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34718 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 315328097694720 in words is "three hundred fifteen trillion, three hundred twenty-eight billion, ninety-seven million, six hundred ninety-four thousand, seven hundred twenty".