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379343150725056 = 2637294310113117107
BaseRepresentation
bin101011001000000101011010…
…1101111110011011111000000
31211202010211222102000011111020
41112100022311233303133000
5344210124233041200211
63422443500533145440
7142621431623110140
oct12620126557633700
91752124872004436
10379343150725056
11aa963588146411
12366672b178b280
1313388ba0857abb
146996440cd2920
152dcc8bc5e0306
hex15902b5bf37c0

379343150725056 has 896 divisors, whose sum is σ = 1235665652981760. Its totient is φ = 100422346752000.

The previous prime is 379343150724953. The next prime is 379343150725151. The reversal of 379343150725056 is 650527051343973.

It is a happy number.

It is a super-3 number, since 3×3793431507250563 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22174724055 + ... + 22174741161.

It is an arithmetic number, because the mean of its divisors is an integer number (1379091130560).

Almost surely, 2379343150725056 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 379343150725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617832826490880).

379343150725056 is an abundant number, since it is smaller than the sum of its proper divisors (856322502256704).

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

379343150725056 is a wasteful number, since it uses less digits than its factorization.

379343150725056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17433 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 60.

The spelling of 379343150725056 in words is "three hundred seventy-nine trillion, three hundred forty-three billion, one hundred fifty million, seven hundred twenty-five thousand, fifty-six".