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45823718136 = 23373110782231
BaseRepresentation
bin101010101011010011…
…100111001011111000
311101021112102001220210
4222223103213023320
51222321332440021
633015013151120
73211361114610
oct525323471370
9141245361823
1045823718136
1118485326739
128a6a32b4a0
134423779921
142309c0da40
1512d2dece76
hexaab4e72f8

45823718136 has 128 divisors (see below), whose sum is σ = 136413020160. Its totient is φ = 12551587200.

The previous prime is 45823718131. The next prime is 45823718147. The reversal of 45823718136 is 63181732854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45823718131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516141 + ... + 598371.

It is an arithmetic number, because the mean of its divisors is an integer number (1065726720).

Almost surely, 245823718136 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 45823718136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68206510080).

45823718136 is an abundant number, since it is smaller than the sum of its proper divisors (90589302024).

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

45823718136 is a wasteful number, since it uses less digits than its factorization.

45823718136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82385 (or 82381 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 45823718136 in words is "forty-five billion, eight hundred twenty-three million, seven hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 107 124 168 186 214 217 248 321 372 428 434 642 651 744 749 856 868 1284 1302 1498 1736 2247 2568 2604 2996 3317 4494 5208 5992 6634 8988 9951 13268 17976 19902 23219 26536 39804 46438 69657 79608 82231 92876 139314 164462 185752 246693 278628 328924 493386 557256 575617 657848 986772 1151234 1726851 1973544 2302468 2549161 3453702 4604936 5098322 6907404 7647483 8798717 10196644 13814808 15294966 17597434 17844127 20393288 26396151 30589932 35194868 35688254 52792302 53532381 61179864 61591019 70389736 71376508 105584604 107064762 123182038 142753016 184773057 211169208 214129524 246364076 272760227 369546114 428259048 492728152 545520454 739092228 818280681 1091040908 1478184456 1636561362 1909321589 2182081816 3273122724 3818643178 5727964767 6546245448 7637286356 11455929534 15274572712 22911859068 45823718136