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45223185384 = 23331325936211
BaseRepresentation
bin101010000111100000…
…110000101111101000
311022201200101211212000
4222013200300233220
51220104113413014
632435241451000
73160446506346
oct520740605750
9138650354760
1045223185384
11181a7344583
1289211a0a60
1343592256c0
142290168996
15129a327509
hexa87830be8

45223185384 has 128 divisors (see below), whose sum is σ = 135356995200. Its totient is φ = 13907220480.

The previous prime is 45223185367. The next prime is 45223185473. The reversal of 45223185384 is 48358132254.

45223185384 is a `hidden beast` number, since 45 + 223 + 1 + 8 + 5 + 384 = 666.

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, 7278039 + ... + 7284249.

It is an arithmetic number, because the mean of its divisors is an integer number (1057476525).

Almost surely, 245223185384 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 45223185384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67678497600).

45223185384 is an abundant number, since it is smaller than the sum of its proper divisors (90133809816).

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

45223185384 is a wasteful number, since it uses less digits than its factorization.

45223185384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8822 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 45223185384 in words is "forty-five billion, two hundred twenty-three million, one hundred eighty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2593 2808 5186 6211 7779 10372 12422 15558 18633 20744 23337 24844 31116 33709 37266 46674 49688 55899 62232 67418 70011 74532 80743 93348 101127 111798 134836 140022 149064 161486 167697 186696 202254 223596 242229 269672 280044 303381 322972 335394 404508 447192 484458 560088 606762 645944 670788 726687 809016 910143 968916 1213524 1341576 1453374 1820286 1937832 2180061 2427048 2906748 3640572 4360122 5813496 7281144 8720244 16105123 17440488 32210246 48315369 64420492 96630738 128840984 144946107 193261476 209366599 289892214 386522952 418733198 434838321 579784428 628099797 837466396 869676642 1159568856 1256199594 1674932792 1739353284 1884299391 2512399188 3478706568 3768598782 5024798376 5652898173 7537197564 11305796346 15074395128 22611592692 45223185384