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45320432024412 = 22325921641122037
BaseRepresentation
bin10100100110111111111000…
…10000000111101101011100
312221110120221211102112210200
422103133330100013231130
521420012221044240122
6240215530303103500
712355202361056526
oct1223377420075534
9187416854375720
1045320432024412
1113493318416216
1250bb4a0ba1b90
131c3991050a0ac
14b297407c8a16
15538d4d7555ac
hex2937fc407b5c

45320432024412 has 108 divisors (see below), whose sum is σ = 116546975080536. Its totient is φ = 14849184248640.

The previous prime is 45320432024401. The next prime is 45320432024447. The reversal of 45320432024412 is 21442023402354.

45320432024412 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 0 + 4 + 3 + 202 + 441 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2056549858 + ... + 2056571894.

Almost surely, 245320432024412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45320432024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58273487540268).

45320432024412 is an abundant number, since it is smaller than the sum of its proper divisors (71226543056124).

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

45320432024412 is a wasteful number, since it uses less digits than its factorization.

45320432024412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38576 (or 38512 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 45320432024412 its reverse (21442023402354), we get a palindrome (66762455426766).

The spelling of 45320432024412 in words is "forty-five trillion, three hundred twenty billion, four hundred thirty-two million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3481 6962 10443 13924 16411 20886 22037 31329 32822 41772 44074 49233 62658 65644 66111 88148 98466 125316 132222 147699 196932 198333 264444 295398 396666 590796 793332 968249 1300183 1936498 2600366 2904747 3872996 3900549 5200732 5809494 7801098 8714241 11618988 11701647 15602196 17428482 23403294 34856964 46806588 57126691 76710797 114253382 153421594 171380073 228506764 230132391 306843188 342760146 361649207 460264782 514140219 685520292 690397173 723298414 920529564 1028280438 1084947621 1380794346 1446596828 2056560876 2169895242 2761588692 3254842863 4339790484 6509685726 13019371452 21337303213 42674606426 64011909639 85349212852 128023819278 192035728917 256047638556 384071457834 768142915668 1258900889567 2517801779134 3776702668701 5035603558268 7553405337402 11330108006103 15106810674804 22660216012206 45320432024412