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136845089440893 = 34292391999121937
BaseRepresentation
bin11111000111010110111010…
…111100100000010001111101
3122221112021002120102111120000
4133013112322330200101331
5120414032220344102033
61203013433300344513
740552505613016611
oct3707267274402175
9587467076374500
10136845089440893
113a66a749499709
12134215b36a5139
135b4858a18a092
1425b14a27c5341
1510c49c502ca13
hex7c75baf2047d

136845089440893 has 80 divisors (see below), whose sum is σ = 212464771200000. Its totient is φ = 87671043629568.

The previous prime is 136845089440853. The next prime is 136845089440901. The reversal of 136845089440893 is 398044980548631.

136845089440893 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 4 + 50 + 89 + 4 + 408 + 93 = 666.

It is a de Polignac number, because none of the positive numbers 2k-136845089440893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136845089440823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1122199621 + ... + 1122321557.

It is an arithmetic number, because the mean of its divisors is an integer number (2655809640000).

Almost surely, 2136845089440893 is an apocalyptic number.

It is an amenable number.

136845089440893 is a deficient number, since it is larger than the sum of its proper divisors (75619681759107).

136845089440893 is a wasteful number, since it uses less digits than its factorization.

136845089440893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124216 (or 124207 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 136845089440893 in words is "one hundred thirty-six trillion, eight hundred forty-five billion, eighty-nine million, four hundred forty thousand, eight hundred ninety-three".

Divisors: 1 3 9 27 29 81 87 239 261 717 783 1999 2151 2349 5997 6453 6931 17991 19359 20793 53973 57971 62379 121937 161919 173913 187137 365811 477761 521739 561411 1097433 1433283 1565217 3292299 3536173 4299849 4695651 9876897 10608519 12899547 13855069 29142943 31825557 38698641 41565207 87428829 95476671 124695621 243752063 262286487 286430013 374086863 731256189 786859461 845145347 1122260589 2193768567 2360578383 2535436041 6581305701 7068809827 7606308123 19743917103 21206429481 22818924369 58256743057 63619288443 68456773107 174770229171 190857865329 524310687513 572573595987 1572932062539 1689445548653 4718796187617 5068336645959 15205009937877 45615029813631 136845089440893