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45106989642 = 233111331188431
BaseRepresentation
bin101010000000100101…
…100000101001001010
311022102120202111021000
4222000211200221022
51214334342132032
632415531155430
73154536041301
oct520045405112
9138376674230
1045106989642
11181477a0a40
1288aa2a5b76
13433b131220
14227c95d438
151290023e7c
hexa80960a4a

45106989642 has 128 divisors (see below), whose sum is σ = 121561251840. Its totient is φ = 12210264000.

The previous prime is 45106989581. The next prime is 45106989647. The reversal of 45106989642 is 24698960154.

45106989642 is a `hidden beast` number, since 4 + 510 + 6 + 9 + 89 + 6 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45106989647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145167 + ... + 333597.

It is an arithmetic number, because the mean of its divisors is an integer number (949697280).

Almost surely, 245106989642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106989642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60780625920).

45106989642 is an abundant number, since it is smaller than the sum of its proper divisors (76454262198).

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

45106989642 is a wasteful number, since it uses less digits than its factorization.

45106989642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188497 (or 188491 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45106989642 in words is "forty-five billion, one hundred six million, nine hundred eighty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 93 99 117 143 186 198 234 279 286 297 341 351 403 429 558 594 682 702 806 837 858 1023 1209 1287 1674 2046 2418 2574 3069 3627 3861 4433 6138 7254 7722 8866 9207 10881 13299 18414 21762 26598 39897 79794 119691 188431 239382 376862 565293 1130586 1695879 2072741 2449603 3391758 4145482 4899206 5087637 5841361 6218223 7348809 10175274 11682722 12436446 14697618 17524083 18654669 22046427 26945633 35048166 37309338 44092854 52572249 53891266 55964007 64254971 66139281 75937693 80836899 105144498 111928014 128509942 132278562 151875386 157716747 161673798 192764913 227813079 242510697 315433494 385529826 455626158 485021394 578294739 683439237 727532091 835314623 1156589478 1366878474 1455064182 1670629246 1734884217 2050317711 2505943869 3469768434 4100635422 5011887738 7517831607 15035663214 22553494821 45106989642