Search a number
-
+
379055738880 = 21238571331
BaseRepresentation
bin1011000010000010111…
…10111001000000000000
31100020102001020200000000
411201001132321000000
522202301232121010
6450045200000000
736246232422150
oct5410136710000
91306361220000
10379055738880
1113683609aa95
1261569000000
132998b440b20
14144bc71c760
159cd7d0b7c0
hex58417b9000

379055738880 has 1872 divisors, whose sum is σ = 1733386497024. Its totient is φ = 77396705280.

The previous prime is 379055738861. The next prime is 379055738899. The reversal of 379055738880 is 88837550973.

379055738880 is a `hidden beast` number, since 3 + 79 + 0 + 557 + 3 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (379055738861) and next prime (379055738899).

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12227604465 + ... + 12227604495.

Almost surely, 2379055738880 is an apocalyptic number.

379055738880 is a gapful number since it is divisible by the number (30) 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 379055738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866693248512).

379055738880 is an abundant number, since it is smaller than the sum of its proper divisors (1354330758144).

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

379055738880 is an frugal number, since it uses more digits than its factorization.

379055738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 379055738880 in words is "three hundred seventy-nine billion, fifty-five million, seven hundred thirty-eight thousand, eight hundred eighty".