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13004394791310 = 23351315124536131
BaseRepresentation
bin1011110100111101001001…
…0101010000000110001110
31201001012121122002001121000
42331033102111100012032
53201031000031310220
643354045252121130
72511352011614136
oct275172225200616
951035548061530
1013004394791310
11416415092152a
1215604096061a6
13734403316650
1432d5b7985ac6
1517841a3e2390
hexbd3d255018e

13004394791310 has 128 divisors (see below), whose sum is σ = 37593280005120. Its totient is φ = 3179882448000.

The previous prime is 13004394791257. The next prime is 13004394791317. The reversal of 13004394791310 is 1319749340031.

13004394791310 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 43 + 9 + 479 + 131 + 0 = 666.

It is a super-2 number, since 2×130043947913102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004394791317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11738056 + ... + 12798075.

It is an arithmetic number, because the mean of its divisors is an integer number (293697500040).

Almost surely, 213004394791310 is an apocalyptic number.

13004394791310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13004394791310 is an abundant number, since it is smaller than the sum of its proper divisors (24588885213810).

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

13004394791310 is a wasteful number, since it uses less digits than its factorization.

13004394791310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24536311 (or 24536305 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13004394791310 in words is "thirteen trillion, four billion, three hundred ninety-four million, seven hundred ninety-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 151 195 234 270 302 351 390 453 585 702 755 906 1170 1359 1510 1755 1963 2265 2718 3510 3926 4077 4530 5889 6795 8154 9815 11778 13590 17667 19630 20385 29445 35334 40770 53001 58890 88335 106002 176670 265005 530010 24536131 49072262 73608393 122680655 147216786 220825179 245361310 318969703 368041965 441650358 637939406 662475537 736083930 956909109 1104125895 1324951074 1594848515 1913818218 2208251790 2870727327 3189697030 3312377685 3704955781 4784545545 5741454654 6624755370 7409911562 8612181981 9569091090 11114867343 14353636635 17224363962 18524778905 22229734686 28707273270 33344602029 37049557810 43060909905 48164425153 55574336715 66689204058 86121819810 96328850306 100033806087 111148673430 144493275459 166723010145 200067612174 240822125765 288986550918 333446020290 433479826377 481644251530 500169030435 722466377295 866959652754 1000338060870 1300439479131 1444932754590 2167399131885 2600878958262 4334798263770 6502197395655 13004394791310