Search a number
-
+
11937149380324 = 22722467872
BaseRepresentation
bin1010110110110101010110…
…0011000110011011100100
31120021011212110112210222201
42231231111203012123210
53031034240220132244
641215503431104244
72341300455401200
oct255552543063344
946234773483881
1011937149380324
113892575696013
1214095bb212084
1368788c4c0cbc
142d3a926c9b00
1515a7a52d4ad4
hexadb558c66e4

11937149380324 has 27 divisors (see below), whose sum is σ = 24300723992643. Its totient is φ = 5115900432888.

The previous prime is 11937149380313. The next prime is 11937149380349. The reversal of 11937149380324 is 42308394173911.

The square root of 11937149380324 is 3455018.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48246859 + ... + 48493645.

Almost surely, 211937149380324 is an apocalyptic number.

11937149380324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11937149380324 is the 3455018-th square number.

It is an amenable number.

11937149380324 is an abundant number, since it is smaller than the sum of its proper divisors (12363574612319).

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

11937149380324 is an frugal number, since it uses more digits than its factorization.

11937149380324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493592 (or 246796 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 11937149380324 in words is "eleven trillion, nine hundred thirty-seven billion, one hundred forty-nine million, three hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 246787 493574 987148 1727509 3455018 6910036 12092563 24185126 48370252 60903823369 121807646738 243615293476 426326763583 852653527166 1705307054332 2984287345081 5968574690162 11937149380324