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45313681335 = 35136116323371
BaseRepresentation
bin101010001100111001…
…111110011110110111
311022221222200111221220
4222030321332132313
51220300300300320
632452233241423
73162625636056
oct521471763667
9138858614856
1045313681335
111824343451a
128947563273
134371bbc2c0
14229c1a439d
1512a3250e40
hexa8ce7e7b7

45313681335 has 64 divisors (see below), whose sum is σ = 79849222656. Its totient is φ = 21807014400.

The previous prime is 45313681331. The next prime is 45313681363. The reversal of 45313681335 is 53318631354.

It is not a de Polignac number, because 45313681335 - 22 = 45313681331 is a prime.

It is a super-2 number, since 2×453136813352 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45313681331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1927200 + ... + 1950570.

It is an arithmetic number, because the mean of its divisors is an integer number (1247644104).

Almost surely, 245313681335 is an apocalyptic number.

45313681335 is a deficient number, since it is larger than the sum of its proper divisors (34535541321).

45313681335 is a wasteful number, since it uses less digits than its factorization.

45313681335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616.

The product of its digits is 388800, while the sum is 42.

The spelling of 45313681335 in words is "forty-five billion, three hundred thirteen million, six hundred eighty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 13 15 39 61 65 163 183 195 305 489 793 815 915 2119 2379 2445 3965 6357 9943 10595 11895 23371 29829 31785 49715 70113 116855 129259 149145 303823 350565 387777 646295 911469 1425631 1519115 1938885 3809473 4276893 4557345 7128155 11428419 18533203 19047365 21384465 49523149 55599609 57142095 92666015 148569447 232377853 247615745 277998045 697133559 742847235 1161889265 3020912089 3485667795 9062736267 15104560445 45313681335