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45166266040 = 2357438345197
BaseRepresentation
bin101010000100000111…
…101000011010111000
311022120201022001012011
4222010013220122320
51220000031003130
632425445455304
73156155632630
oct520407503270
9138521261164
1045166266040
11181781a81a5
128906111534
13434a4b6a0c
14228678d6c0
15129533252a
hexa841e86b8

45166266040 has 128 divisors (see below), whose sum is σ = 120277301760. Its totient is φ = 14942882304.

The previous prime is 45166266023. The next prime is 45166266071. The reversal of 45166266040 is 4066266154.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45166265984 and 45166266002.

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, 976722 + ... + 1021918.

It is an arithmetic number, because the mean of its divisors is an integer number (939666420).

Almost surely, 245166266040 is an apocalyptic number.

45166266040 is a gapful number since it is divisible by the number (40) 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 45166266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60138650880).

45166266040 is an abundant number, since it is smaller than the sum of its proper divisors (75111035720).

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

45166266040 is a wasteful number, since it uses less digits than its factorization.

45166266040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45341 (or 45337 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 45166266040 in words is "forty-five billion, one hundred sixty-six million, two hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 83 86 140 166 172 215 280 301 332 344 415 430 581 602 664 830 860 1162 1204 1505 1660 1720 2324 2408 2905 3010 3320 3569 4648 5810 6020 7138 11620 12040 14276 17845 23240 24983 28552 35690 45197 49966 71380 90394 99932 124915 142760 180788 199864 225985 249830 316379 361576 451970 499660 632758 903940 999320 1265516 1581895 1807880 1943471 2531032 3163790 3751351 3886942 6327580 7502702 7773884 9717355 12655160 13604297 15005404 15547768 18756755 19434710 26259457 27208594 30010808 37513510 38869420 52518914 54417188 68021485 75027020 77738840 105037828 108834376 131297285 136042970 150054040 161308093 210075656 262594570 272085940 322616186 525189140 544171880 645232372 806540465 1050378280 1129156651 1290464744 1613080930 2258313302 3226161860 4516626604 5645783255 6452323720 9033253208 11291566510 22583133020 45166266040