Search a number
-
+
1332382630095 = 3251121631501217
BaseRepresentation
bin10011011000111000001…
…100011000000011001111
311201101010000222111122100
4103120320030120003033
5133312204423130340
62500031011450143
7165155453330556
oct23307014300317
94641100874570
101332382630095
11474073294500
121962842b6953
1398848ca5c1a
14486b8210d9d
15249d1ce3830
hex136383180cf

1332382630095 has 72 divisors (see below), whose sum is σ = 2554076227248. Its totient is φ = 642040058880.

The previous prime is 1332382630049. The next prime is 1332382630109. The reversal of 1332382630095 is 5900362832331.

1332382630095 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 8 + 2 + 630 + 0 + 9 + 5 = 666.

It is not a de Polignac number, because 1332382630095 - 215 = 1332382597327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1332382630095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136927 + ... + 1638143.

It is an arithmetic number, because the mean of its divisors is an integer number (35473280934).

Almost surely, 21332382630095 is an apocalyptic number.

1332382630095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1332382630095 is a deficient number, since it is larger than the sum of its proper divisors (1221693597153).

1332382630095 is a wasteful number, since it uses less digits than its factorization.

1332382630095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501413 (or 1501399 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1332382630095 in words is "one trillion, three hundred thirty-two billion, three hundred eighty-two million, six hundred thirty thousand, ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 163 165 363 489 495 605 815 1089 1467 1793 1815 2445 5379 5445 7335 8965 16137 19723 26895 59169 80685 98615 177507 295845 887535 1501217 4503651 7506085 13510953 16513387 22518255 49540161 67554765 82566935 148620483 181647257 244698371 247700805 544941771 734095113 743102415 908236285 1223491855 1634825313 2202285339 2691682081 2724708855 3670475565 8075046243 8174126565 11011426695 13458410405 24225138729 29608502891 40375231215 88825508673 121125693645 148042514455 266476526019 444127543365 1332382630095