Search a number
-
+
13255023011544 = 23322341195225389
BaseRepresentation
bin1100000011100010110011…
…1100000010011011011000
31201221011112100021210212100
43000320230330002123120
53214132241342332134
644105135024443400
72535433553416566
oct300705474023330
951834470253770
1013255023011544
114250472a28956
1215a0ab4479560
13751c355a1c92
1433b7919a8a36
1517ebd8450999
hexc0e2cf026d8

13255023011544 has 96 divisors (see below), whose sum is σ = 38373502658400. Its totient is φ = 4123160194560.

The previous prime is 13255023011537. The next prime is 13255023011579. The reversal of 13255023011544 is 44511032055231.

13255023011544 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 502 + 30 + 115 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13255023011499 and 13255023011508.

It is a congruent number.

It is an unprimeable number.

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, 97544799 + ... + 97680590.

It is an arithmetic number, because the mean of its divisors is an integer number (399723986025).

Almost surely, 213255023011544 is an apocalyptic number.

It is an amenable number.

13255023011544 is an abundant number, since it is smaller than the sum of its proper divisors (25118479646856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13255023011544 is a wasteful number, since it uses less digits than its factorization.

13255023011544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195225465 (or 195225458 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13255023011544 its reverse (44511032055231), we get a palindrome (57766055066775).

The spelling of 13255023011544 in words is "thirteen trillion, two hundred fifty-five billion, twenty-three million, eleven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 92 123 138 164 184 207 246 276 328 369 414 492 552 738 828 943 984 1476 1656 1886 2829 2952 3772 5658 7544 8487 11316 16974 22632 33948 67896 195225389 390450778 585676167 780901556 1171352334 1561803112 1757028501 2342704668 3514057002 4490183947 4685409336 7028114004 8004240949 8980367894 13470551841 14056228008 16008481898 17960735788 24012722847 26941103682 32016963796 35921471576 40411655523 48025445694 53882207364 64033927592 72038168541 80823311046 96050891388 107764414728 144076337082 161646622092 184097541827 192101782776 288152674164 323293244184 368195083654 552292625481 576305348328 736390167308 1104585250962 1472780334616 1656877876443 2209170501924 3313755752886 4418341003848 6627511505772 13255023011544