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132653513324430 = 23357373188169019
BaseRepresentation
bin11110001010010111001101…
…100010100011011110001110
3122101200112220102110201221000
4132022113031202203132032
5114341343343402340210
61150044103245321130
736640620502623630
oct3612271542433616
9571615812421830
10132653513324430
11392a404800226a
1212a651812661a6
135903232369b67
1424a867008ca50
151050950428ac0
hex78a5cd8a378e

132653513324430 has 128 divisors (see below), whose sum is σ = 405361229644800. Its totient is φ = 30239513868672.

The previous prime is 132653513324389. The next prime is 132653513324461. The reversal of 132653513324430 is 34423315356231.

132653513324430 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 535 + 13 + 32 + 44 + 30 = 666.

132653513324430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93379540 + ... + 94789479.

It is an arithmetic number, because the mean of its divisors is an integer number (3166884606600).

Almost surely, 2132653513324430 is an apocalyptic number.

132653513324430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132653513324430 is an abundant number, since it is smaller than the sum of its proper divisors (272707716320370).

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

132653513324430 is a wasteful number, since it uses less digits than its factorization.

132653513324430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188169415 (or 188169409 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 132653513324430 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirteen million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 373 378 630 746 945 1119 1865 1890 2238 2611 3357 3730 5222 5595 6714 7833 10071 11190 13055 15666 16785 20142 23499 26110 33570 39165 46998 50355 70497 78330 100710 117495 140994 234990 352485 704970 188169019 376338038 564507057 940845095 1129014114 1317183133 1693521171 1881690190 2634366266 2822535285 3387042342 3951549399 5080563513 5645070570 6585915665 7903098798 8467605855 10161127026 11854648197 13171831330 16935211710 19757746995 23709296394 25402817565 35563944591 39515493990 50805635130 59273240985 70187044087 71127889182 118546481970 140374088174 177819722955 210561132261 350935220435 355639445910 421122264522 491309308609 631683396783 701870440870 982618617218 1052805661305 1263366793566 1473927925827 1895050190349 2105611322610 2456546543045 2947855851654 3158416983915 3790100380698 4421783777481 4913093086090 6316833967830 7369639629135 8843567554962 9475250951745 13265351332443 14739279258270 18950501903490 22108918887405 26530702664886 44217837774810 66326756662215 132653513324430