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132260000146605 = 325192571019359051
BaseRepresentation
bin11110000100101000101110…
…010100111010010010101101
3122100021221011211000002002100
4132010220232110322102231
5114313421440014142410
61145143223312245313
736600320046041622
oct3604505624722255
9570257154002070
10132260000146605
1139162173087431
1212a00a5a540839
1358a50ab917546
1424935bd620349
1510455bd27b8c0
hex784a2e53a4ad

132260000146605 has 96 divisors (see below), whose sum is σ = 242283335898240. Its totient is φ = 66558423859200.

The previous prime is 132260000146579. The next prime is 132260000146627. The reversal of 132260000146605 is 506641000062231.

132260000146605 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 0 + 0 + 0 + 0 + 1 + 46 + 605 = 666.

It is not a de Polignac number, because 132260000146605 - 26 = 132260000146541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132260000146605.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 2239729330 + ... + 2239788380.

It is an arithmetic number, because the mean of its divisors is an integer number (2523784748940).

Almost surely, 2132260000146605 is an apocalyptic number.

132260000146605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132260000146605 is a deficient number, since it is larger than the sum of its proper divisors (110023335751635).

132260000146605 is a wasteful number, since it uses less digits than its factorization.

132260000146605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69531 (or 69528 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132260000146605 in words is "one hundred thirty-two trillion, two hundred sixty billion, one hundred forty-six thousand, six hundred five".

Divisors: 1 3 5 9 15 19 45 57 95 171 257 285 771 855 1285 2313 3855 4883 10193 11565 14649 24415 30579 43947 50965 59051 73245 91737 152895 177153 193667 219735 295255 458685 531459 581001 885765 968335 1121969 1743003 2619601 2657295 2905005 3365907 5609845 7858803 8715015 10097721 13098005 15176107 16829535 23576409 39294015 45528321 49772419 50488605 75880535 117882045 136584963 149317257 227641605 248862095 288346033 447951771 601906843 682924815 746586285 865038099 1441730165 1805720529 2239758855 2595114297 3009534215 4325190495 5417161587 9028602645 11436230017 12975571485 27085807935 34308690051 57181150085 102926070153 154690058651 171543450255 464070175953 514630350765 773450293255 1392210527859 2320350879765 2939111114369 6961052639295 8817333343107 14695555571845 26452000029321 44086666715535 132260000146605