Search a number
-
+
132051545344332 = 223331892331902007
BaseRepresentation
bin11110000001100110100101…
…011100111100100101001100
3122022120000010020111221021000
4132001212211130330211030
5114302013031102004312
61144503350434340300
736546260252334405
oct3601464534744514
9568500106457230
10132051545344332
1139091822852139
121298858342a690
13588b53aa967b3
1424874866c69ac
15103ee6c920adc
hex7819a573c94c

132051545344332 has 192 divisors, whose sum is σ = 358904344780800. Its totient is φ = 41937862855680.

The previous prime is 132051545344289. The next prime is 132051545344379. The reversal of 132051545344332 is 233443545150231.

132051545344332 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 1 + 545 + 34 + 43 + 32 = 666.

It is a super-2 number, since 2×1320515453443322 (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 68476473 + ... + 70378479.

It is an arithmetic number, because the mean of its divisors is an integer number (1869293462400).

Almost surely, 2132051545344332 is an apocalyptic number.

132051545344332 is a gapful number since it is divisible by the number (12) 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 132051545344332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179452172390400).

132051545344332 is an abundant number, since it is smaller than the sum of its proper divisors (226852799436468).

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

132051545344332 is a wasteful number, since it uses less digits than its factorization.

132051545344332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902373 (or 1902365 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 132051545344332 in words is "one hundred thirty-two trillion, fifty-one billion, five hundred forty-five million, three hundred forty-four thousand, three hundred thirty-two".