Search a number
-
+
379055762208 = 25362921392
BaseRepresentation
bin1011000010000010111…
…10111110101100100000
31100020102001021212000000
411201001132332230200
522202301233342313
6450045200300000
736246232550154
oct5410136765440
91306361255000
10379055762208
11136836106572
1261569011600
132998b44b626
14144bc727064
159cd7d13673
hex58417beb20

379055762208 has 378 divisors, whose sum is σ = 1167196614129. Its totient is φ = 121117296384.

The previous prime is 379055762203. The next prime is 379055762233. The reversal of 379055762208 is 802267550973.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

379055762208 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 5 + 5 + 7 + 622 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378830402064 + 225360144 = 615492^2 + 15012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=435348.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (379055762203) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2727019803 + ... + 2727019941.

Almost surely, 2379055762208 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 379055762208

379055762208 is an abundant number, since it is smaller than the sum of its proper divisors (788140851921).

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

379055762208 is an frugal number, since it uses more digits than its factorization.

379055762208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 379055762208 in words is "three hundred seventy-nine billion, fifty-five million, seven hundred sixty-two thousand, two hundred eight".