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45282888336 = 2437238097243
BaseRepresentation
bin101010001011000100…
…100000101010010000
311022212211202001220110
4222023010200222100
51220214404411321
632445213241320
73162103125420
oct521304405220
9138784661813
1045282888336
1118228012264
128939193240
1343686ca3aa
14229806a480
1512a06bc176
hexa8b120a90

45282888336 has 160 divisors (see below), whose sum is σ = 139696773120. Its totient is φ = 12358444032.

The previous prime is 45282888283. The next prime is 45282888337. The reversal of 45282888336 is 63388828254.

It is not an unprimeable number, because it can be changed into a prime (45282888337) 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, 6248331 + ... + 6255573.

It is an arithmetic number, because the mean of its divisors is an integer number (873104832).

Almost surely, 245282888336 is an apocalyptic number.

45282888336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45282888336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69848386560).

45282888336 is an abundant number, since it is smaller than the sum of its proper divisors (94413884784).

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

45282888336 is a wasteful number, since it uses less digits than its factorization.

45282888336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8087 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 45282888336 in words is "forty-five billion, two hundred eighty-two million, eight hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 809 966 1104 1288 1618 1932 2427 2576 3236 3864 4854 5663 6472 7243 7728 9708 11326 12944 14486 16989 18607 19416 21729 22652 28972 33978 37214 38832 43458 45304 50701 55821 57944 67956 74428 86916 90608 101402 111642 115888 130249 135912 148856 152103 166589 173832 202804 223284 260498 271824 297712 304206 333178 347664 390747 405608 446568 499767 520996 608412 666356 781494 811216 893136 999534 1041992 1166123 1216824 1332712 1562988 1999068 2083984 2332246 2433648 2665424 3125976 3498369 3998136 4664492 5859587 6251952 6996738 7996272 9328984 11719174 13993476 17578761 18657968 23438348 27986952 35157522 41017109 46876696 55973904 70315044 82034218 93753392 123051327 134770501 140630088 164068436 246102654 269541002 281260176 328136872 404311503 492205308 539082004 656273744 808623006 943393507 984410616 1078164008 1617246012 1886787014 1968821232 2156328016 2830180521 3234492024 3773574028 5660361042 6468984048 7547148056 11320722084 15094296112 22641444168 45282888336