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45132774430104 = 23334116730516727
BaseRepresentation
bin10100100001100010010101…
…11111001101010110011000
312220210122120122120000222000
422100301022333031112120
521403423410223230404
6235553413233401000
712335510136613554
oct1220611277152630
9186718518500860
1045132774430104
111342077a6140a9
12508b04aa09160
131c2500527a06a
14b2061b9b6864
15534018b3a339
hex290c4afcd598

45132774430104 has 128 divisors (see below), whose sum is σ = 129195619660800. Its totient is φ = 14589436366080.

The previous prime is 45132774430039. The next prime is 45132774430111. The reversal of 45132774430104 is 40103447723154.

45132774430104 is a `hidden beast` number, since 4 + 5 + 1 + 32 + 77 + 443 + 0 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45132774430104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13779412 + ... + 16737315.

It is an arithmetic number, because the mean of its divisors is an integer number (1009340778600).

Almost surely, 245132774430104 is an apocalyptic number.

It is an amenable number.

45132774430104 is an abundant number, since it is smaller than the sum of its proper divisors (84062845230696).

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

45132774430104 is a wasteful number, since it uses less digits than its factorization.

45132774430104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30516950 (or 30516940 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45132774430104 in words is "forty-five trillion, one hundred thirty-two billion, seven hundred seventy-four million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 167 216 246 328 334 369 492 501 668 738 984 1002 1107 1336 1476 1503 2004 2214 2952 3006 4008 4428 4509 6012 6847 8856 9018 12024 13694 18036 20541 27388 36072 41082 54776 61623 82164 123246 164328 184869 246492 369738 492984 739476 1478952 30516727 61033454 91550181 122066908 183100362 244133816 274650543 366200724 549301086 732401448 823951629 1098602172 1251185807 1647903258 2197204344 2502371614 3295806516 3753557421 5004743228 5096293409 6591613032 7507114842 10009486456 10192586818 11260672263 15014229684 15288880227 20385173636 22521344526 30028459368 30577760454 33782016789 40770347272 45042689052 45866640681 61155520908 67564033578 90085378104 91733281362 122311041816 135128067156 137599922043 183466562724 208948029769 270256134312 275199844086 366933125448 417896059538 550399688172 626844089307 835792119076 1100799376344 1253688178614 1671584238152 1880532267921 2507376357228 3761064535842 5014752714456 5641596803763 7522129071684 11283193607526 15044258143368 22566387215052 45132774430104