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10005115451445 = 3757309125183
BaseRepresentation
bin1001000110010111111101…
…0110100011100000110101
31022102110221200212010000000
42101211333112203200311
52302410434023421240
633140141522541513
72051563042100022
oct221457726434065
938373850763000
1010005115451445
113208166926444
121157084b07899
1357762abaa87a
14268370684549
151253c90a2430
hex9197f5a3835

10005115451445 has 64 divisors (see below), whose sum is σ = 18009070387200. Its totient is φ = 5335288886592.

The previous prime is 10005115451437. The next prime is 10005115451447. The reversal of 10005115451445 is 54415451150001.

10005115451445 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 51 + 1 + 54 + 514 + 45 = 666.

It is not a de Polignac number, because 10005115451445 - 23 = 10005115451437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005115451447) 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, 79861324 + ... + 79986506.

It is an arithmetic number, because the mean of its divisors is an integer number (281391724800).

Almost surely, 210005115451445 is an apocalyptic number.

10005115451445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005115451445 is a deficient number, since it is larger than the sum of its proper divisors (8003954935755).

10005115451445 is an frugal number, since it uses more digits than its factorization.

10005115451445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132518 (or 132500 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 10005115451445 in words is "ten trillion, five billion, one hundred fifteen million, four hundred fifty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 7309 10935 21927 36545 65781 109635 125183 197343 328905 375549 592029 625915 986715 1126647 1776087 1877745 2960145 3379941 5328261 5633235 8880435 10139823 15984783 16899705 26641305 30419469 50699115 79923915 91258407 152097345 273775221 456292035 914962547 1368876105 2744887641 4574812735 8234662923 13724438205 24703988769 41173314615 74111966307 123519943845 222335898921 370559831535 667007696763 1111679494605 2001023090289 3335038483815 10005115451445