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114646070745 = 32511172280833
BaseRepresentation
bin110101011000101110…
…0000011010111011001
3101221220212210211021100
41222301130003113121
53334243343230440
6124400115102013
711166015344133
oct1526134032731
9357825724240
10114646070745
11446917998a8
121a2768a1909
13aa70c27cab
145798274053
152eaee3b230
hex1ab17035d9

114646070745 has 24 divisors (see below), whose sum is σ = 198897848136. Its totient is φ = 61089804288.

The previous prime is 114646070741. The next prime is 114646070767. The reversal of 114646070745 is 547070646411.

114646070745 is a `hidden beast` number, since 1 + 146 + 460 + 7 + 0 + 7 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133541136 + 114512529609 = 11556^2 + 338397^2 .

It is not a de Polignac number, because 114646070745 - 22 = 114646070741 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114646070745.

It is not an unprimeable number, because it can be changed into a prime (114646070741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090152 + ... + 1190681.

It is an arithmetic number, because the mean of its divisors is an integer number (8287410339).

Almost surely, 2114646070745 is an apocalyptic number.

114646070745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114646070745 is a deficient number, since it is larger than the sum of its proper divisors (84251777391).

114646070745 is a wasteful number, since it uses less digits than its factorization.

114646070745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281961 (or 2281958 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 114646070745 in words is "one hundred fourteen billion, six hundred forty-six million, seventy thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 1117 3351 5585 10053 16755 50265 2280833 6842499 11404165 20527497 34212495 102637485 2547690461 7643071383 12738452305 22929214149 38215356915 114646070745