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379001200248 = 2332111928388997
BaseRepresentation
bin1011000001111100011…
…10110101111001111000
31100020021020121211001200
411200332032311321320
522202143301401443
6450035531014200
736245001022326
oct5407616657170
91306236554050
10379001200248
1113680832a340
126155289a360
1329980056948
14144b53a2d16
159cd3136dd3
hex583e3b5e78

379001200248 has 192 divisors, whose sum is σ = 1182890217600. Its totient is φ = 108418487040.

The previous prime is 379001200241. The next prime is 379001200289. The reversal of 379001200248 is 842002100973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379001200241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4214086 + ... + 4303082.

It is an arithmetic number, because the mean of its divisors is an integer number (6160886550).

Almost surely, 2379001200248 is an apocalyptic number.

379001200248 is a gapful number since it is divisible by the number (38) 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 379001200248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591445108800).

379001200248 is an abundant number, since it is smaller than the sum of its proper divisors (803889017352).

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

379001200248 is a wasteful number, since it uses less digits than its factorization.

379001200248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89322 (or 89315 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 379001200248 in words is "three hundred seventy-nine billion, one million, two hundred thousand, two hundred forty-eight".