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45663682008 = 2337595997691
BaseRepresentation
bin101010100001110001…
…000111110111011000
311100212101021101121210
4222201301013313120
51222004400311013
632551055103120
73204405615150
oct524161076730
9140771241553
1045663682008
1118402a5a17a
128a24811aa0
1343c95758a9
1422d2871760
1512c3d39cc3
hexaa1c47dd8

45663682008 has 128 divisors (see below), whose sum is σ = 132917760000. Its totient is φ = 12802558080.

The previous prime is 45663681983. The next prime is 45663682033. The reversal of 45663682008 is 80028636654.

45663682008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45663681983) and next prime (45663682033).

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, 5933443 + ... + 5941133.

It is an arithmetic number, because the mean of its divisors is an integer number (1038420000).

Almost surely, 245663682008 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 45663682008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66458880000).

45663682008 is an abundant number, since it is smaller than the sum of its proper divisors (87254077992).

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

45663682008 is a wasteful number, since it uses less digits than its factorization.

45663682008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8365 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 45663682008 in words is "forty-five billion, six hundred sixty-three million, six hundred eighty-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 599 708 826 1198 1239 1416 1652 1797 2396 2478 3304 3594 4193 4792 4956 7188 7691 8386 9912 12579 14376 15382 16772 23073 25158 30764 33544 35341 46146 50316 53837 61528 70682 92292 100632 106023 107674 141364 161511 184584 212046 215348 247387 282728 323022 424092 430696 453769 494774 646044 742161 848184 907538 989548 1292088 1361307 1484322 1815076 1979096 2722614 2968644 3176383 3630152 4606909 5445228 5937288 6352766 9213818 9529149 10890456 12705532 13820727 18427636 19058298 25411064 27641454 32248363 36855272 38116596 55282908 64496726 76233192 96745089 110565816 128993452 193490178 257986904 271807631 386980356 543615262 773960712 815422893 1087230524 1630845786 1902653417 2174461048 3261691572 3805306834 5707960251 6523383144 7610613668 11415920502 15221227336 22831841004 45663682008