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45945553140 = 223251181216133
BaseRepresentation
bin101010110010100100…
…011000000011110100
311101121000122221010100
4222302210120003310
51223044030200030
633035044354100
73214400520654
oct526244300364
9141530587110
1045945553140
1118538081123
128aa30a5930
134442a96b46
14231c086364
1512dd967360
hexab29180f4

45945553140 has 72 divisors (see below), whose sum is σ = 139486831848. Its totient is φ = 12241716480.

The previous prime is 45945553139. The next prime is 45945553141. The reversal of 45945553140 is 4135554954.

It is a happy number.

45945553140 is a `hidden beast` number, since 4 + 5 + 9 + 455 + 53 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (45945553139) and next prime (45945553141).

It can be written as a sum of positive squares in 4 ways, for example, as 26871733476 + 19073819664 = 163926^2 + 138108^2 .

It is a super-2 number, since 2×459455531402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45945553141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104514 + ... + 320646.

It is an arithmetic number, because the mean of its divisors is an integer number (1937317109).

Almost surely, 245945553140 is an apocalyptic number.

It is an amenable number.

45945553140 is an abundant number, since it is smaller than the sum of its proper divisors (93541278708).

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

45945553140 is a wasteful number, since it uses less digits than its factorization.

45945553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217329 (or 217324 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 45945553140 in words is "forty-five billion, nine hundred forty-five million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1181 2362 3543 4724 5905 7086 10629 11810 14172 17715 21258 23620 35430 42516 53145 70860 106290 212580 216133 432266 648399 864532 1080665 1296798 1945197 2161330 2593596 3241995 3890394 4322660 6483990 7780788 9725985 12967980 19451970 38903940 255253073 510506146 765759219 1021012292 1276265365 1531518438 2297277657 2552530730 3063036876 3828796095 4594555314 5105061460 7657592190 9189110628 11486388285 15315184380 22972776570 45945553140