Search a number
-
+
379793746332 = 2232711213312997
BaseRepresentation
bin1011000011011010111…
…10001010100110011100
31100022022110221022220100
411201231132022212130
522210304144340312
6450250322021100
736303433402320
oct5415536124634
91308273838810
10379793746332
11137084739a00
12617341a7790
1329a782c9b20
141454c74b980
159d2c9da5dc
hex586d78a99c

379793746332 has 648 divisors, whose sum is σ = 1343355153504. Its totient is φ = 88033651200.

The previous prime is 379793746331. The next prime is 379793746351. The reversal of 379793746332 is 233647397973.

379793746332 is a `hidden beast` number, since 3 + 79 + 79 + 3 + 7 + 463 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 379793746332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379793746331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 380936058 + ... + 380937054.

Almost surely, 2379793746332 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 379793746332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671677576752).

379793746332 is an abundant number, since it is smaller than the sum of its proper divisors (963561407172).

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

379793746332 is a wasteful number, since it uses less digits than its factorization.

379793746332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1064 counting only the distinct ones).

The product of its digits is 108020304, while the sum is 63.

The spelling of 379793746332 in words is "three hundred seventy-nine billion, seven hundred ninety-three million, seven hundred forty-six thousand, three hundred thirty-two".