Search a number
-
+
379055294464 = 21172112193153
BaseRepresentation
bin1011000010000010111…
…01001100100000000000
31100020102000102002101011
411201001131030200000
522202301123410324
6450045142250304
736246225561400
oct5410135144000
91306360362334
10379055294464
11136835917100
1261568a26994
132998b316762
14144bc644800
159cd7c6ec94
hex584174c800

379055294464 has 864 divisors, whose sum is σ = 1072887379200. Its totient is φ = 132843110400.

The previous prime is 379055294461. The next prime is 379055294489. The reversal of 379055294464 is 464492550973.

It is a super-2 number, since 2×3790552944642 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 379055294399 and 379055294408.

It is not an unprimeable number, because it can be changed into a prime (379055294461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7151986662 + ... + 7151986714.

It is an arithmetic number, because the mean of its divisors is an integer number (1241767800).

Almost surely, 2379055294464 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 379055294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536443689600).

379055294464 is an abundant number, since it is smaller than the sum of its proper divisors (693832084736).

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

379055294464 is a wasteful number, since it uses less digits than its factorization.

379055294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 379055294464 in words is "three hundred seventy-nine billion, fifty-five million, two hundred ninety-four thousand, four hundred sixty-four".