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374381700048 = 2432172713791489
BaseRepresentation
bin1010111001010101110…
…00110110001111010000
31022210100022012220002200
411130222320312033100
522113213203400143
6443553311043200
736022345641606
oct5345270661720
91283308186080
10374381700048
11134857789484
1260683810500
13293c4c9c885
1414197a6b876
159b127e11d3
hex572ae363d0

374381700048 has 240 divisors, whose sum is σ = 1117162425600. Its totient is φ = 116632535040.

The previous prime is 374381700001. The next prime is 374381700053. The reversal of 374381700048 is 840007183473.

374381700048 is a `hidden beast` number, since 3 + 7 + 438 + 170 + 0 + 0 + 48 = 666.

374381700048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 374381699976 and 374381700012.

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, 251430888 + ... + 251432376.

It is an arithmetic number, because the mean of its divisors is an integer number (4654843440).

Almost surely, 2374381700048 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 374381700048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558581212800).

374381700048 is an abundant number, since it is smaller than the sum of its proper divisors (742780725552).

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

374381700048 is a wasteful number, since it uses less digits than its factorization.

374381700048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 374381700048 in words is "three hundred seventy-four billion, three hundred eighty-one million, seven hundred thousand, forty-eight".