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376245133056 = 28331319317109
BaseRepresentation
bin1010111100110011111…
…01010001111100000000
31022222011011121002122000
411132121331101330000
522131022223224211
6444502234544000
736116463602112
oct5363175217400
91288134532560
10376245133056
11135623629261
1260b03898000
132963106c360
14142d33373b2
159bc11c9656
hex5799f51f00

376245133056 has 576 divisors, whose sum is σ = 1302142464000. Its totient is φ = 106121871360.

The previous prime is 376245133051. The next prime is 376245133091. The reversal of 376245133056 is 650331542673.

It is a happy number.

376245133056 is a `hidden beast` number, since 3 + 7 + 624 + 5 + 13 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376245133051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52921630 + ... + 52928738.

It is an arithmetic number, because the mean of its divisors is an integer number (2260664000).

Almost surely, 2376245133056 is an apocalyptic number.

376245133056 is a gapful number since it is divisible by the number (36) 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 376245133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651071232000).

376245133056 is an abundant number, since it is smaller than the sum of its proper divisors (925897330944).

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

376245133056 is a wasteful number, since it uses less digits than its factorization.

376245133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 376245133056 in words is "three hundred seventy-six billion, two hundred forty-five million, one hundred thirty-three thousand, fifty-six".