Search a number
-
+
45030542112 = 253352118683
BaseRepresentation
bin101001111100000001…
…111000101100100000
311022020020220112222000
4221330001320230200
51214210304321422
632404200444000
73152620202223
oct517401705440
9138206815860
1045030542112
1118108626866
128888779600
134328345aba
14227273d5ba
151288472cac
hexa7c078b20

45030542112 has 48 divisors (see below), whose sum is σ = 131339083680. Its totient is φ = 15010180416.

The previous prime is 45030542107. The next prime is 45030542113. The reversal of 45030542112 is 21124503054.

45030542112 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 0 + 542 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45030542113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26058478 + ... + 26060205.

It is an arithmetic number, because the mean of its divisors is an integer number (2736230910).

Almost surely, 245030542112 is an apocalyptic number.

It is an amenable number.

45030542112 is an abundant number, since it is smaller than the sum of its proper divisors (86308541568).

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

45030542112 is a wasteful number, since it uses less digits than its factorization.

45030542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52118702 (or 52118688 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 45030542112 in words is "forty-five billion, thirty million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 52118683 104237366 156356049 208474732 312712098 416949464 469068147 625424196 833898928 938136294 1250848392 1407204441 1667797856 1876272588 2501696784 2814408882 3752545176 5003393568 5628817764 7505090352 11257635528 15010180704 22515271056 45030542112