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45240046216893 = 321117191414768309
BaseRepresentation
bin10100100100101010001001…
…11000100110011010111101
312221011220110121100102101100
422102111010320212122331
521412203103312420033
6240114553524203313
712346325343013623
oct1222250470463275
9187156417312340
1045240046216893
1113462217758250
1250a79a7b39539
131c3216c492908
14b258b6701513
15536be6478513
hex292544e266bd

45240046216893 has 48 divisors (see below), whose sum is σ = 79453388289600. Its totient is φ = 24447196362240.

The previous prime is 45240046216891. The next prime is 45240046216901. The reversal of 45240046216893 is 39861264004254.

45240046216893 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 0 + 0 + 4 + 621 + 6 + 8 + 9 + 3 = 666.

It is not a de Polignac number, because 45240046216893 - 21 = 45240046216891 is a prime.

It is a super-2 number, since 2×452400462168932 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45240046216891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707352178 + ... + 707416131.

It is an arithmetic number, because the mean of its divisors is an integer number (1655278922700).

Almost surely, 245240046216893 is an apocalyptic number.

It is an amenable number.

45240046216893 is a deficient number, since it is larger than the sum of its proper divisors (34213342072707).

45240046216893 is a wasteful number, since it uses less digits than its factorization.

45240046216893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414768362 (or 1414768359 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 45240046216893 in words is "forty-five trillion, two hundred forty billion, forty-six million, two hundred sixteen thousand, eight hundred ninety-three".

Divisors: 1 3 9 11 17 19 33 51 57 99 153 171 187 209 323 561 627 969 1683 1881 2907 3553 10659 31977 1414768309 4244304927 12732914781 15562451399 24051061253 26880597871 46687354197 72153183759 80641793613 140062062591 216459551277 241925380839 264561673783 295686576581 456970163807 793685021349 887059729743 1370910491421 2381055064047 2661179189229 4112731474263 5026671801877 15080015405631 45240046216893