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45221550120 = 233251011243717
BaseRepresentation
bin101010000111011010…
…100001100000101000
311022201120022202200200
4222013122201200220
51220103204100440
632435142432200
73160426555665
oct520732414050
9138646282620
1045221550120
11181a6427a1a
128920732660
134358aa22a6
14228dc60a6c
15129a102c30
hexa876a1828

45221550120 has 96 divisors (see below), whose sum is σ = 148425306120. Its totient is φ = 11939673600.

The previous prime is 45221550091. The next prime is 45221550133. The reversal of 45221550120 is 2105512254.

45221550120 is a `hidden beast` number, since 4 + 522 + 15 + 5 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38746772964 + 6474777156 = 196842^2 + 80466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585499 + ... + 658218.

Almost surely, 245221550120 is an apocalyptic number.

45221550120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45221550120 is an abundant number, since it is smaller than the sum of its proper divisors (103203756000).

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

45221550120 is a wasteful number, since it uses less digits than its factorization.

45221550120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243835 (or 1243828 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 45221550120 in words is "forty-five billion, two hundred twenty-one million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 1243717 2487434 3731151 4974868 6218585 7462302 9949736 11193453 12437170 14924604 18655755 22386906 24874340 29849208 37311510 44773812 49748680 55967265 74623020 89547624 111934530 125615417 149246040 223869060 251230834 376846251 447738120 502461668 628077085 753692502 1004923336 1130538753 1256154170 1507385004 1884231255 2261077506 2512308340 3014770008 3768462510 4522155012 5024616680 5652693765 7536925020 9044310024 11305387530 15073850040 22610775060 45221550120