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21597081274756 = 2213247238032
BaseRepresentation
bin1001110100100011101100…
…10110111000100110000100
32211110122211201122101022001
410322101312112320212010
510312321310301243011
6113533321232315044
74356223543615621
oct472216626704604
984418751571261
1021597081274756
1169772a8387aa9
1225097aa9a2a84
13c08799610c00
1454943905b348
15276bca0cc7c1
hex13a4765b8984

21597081274756 has 81 divisors (see below), whose sum is σ = 41826117438021. Its totient is φ = 9753235743264.

The previous prime is 21597081274697. The next prime is 21597081274759. The reversal of 21597081274756 is 65747218079512.

It is a happy number.

The square root of 21597081274756 is 4647266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3194834508100 + 18402246766656 = 1787410^2 + 4289784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21597081274759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5678957151 + ... + 5678960953.

Almost surely, 221597081274756 is an apocalyptic number.

21597081274756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21597081274756 is the 4647266-th square number.

It is an amenable number.

21597081274756 is a deficient number, since it is larger than the sum of its proper divisors (20229036163265).

21597081274756 is an frugal number, since it uses more digits than its factorization.

21597081274756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 64.

The spelling of 21597081274756 in words is "twenty-one trillion, five hundred ninety-seven billion, eighty-one million, two hundred seventy-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 26 47 52 94 169 188 338 611 676 1222 2209 2444 3803 4418 7606 7943 8836 15212 15886 28717 31772 49439 57434 98878 114868 178741 197756 357482 373321 642707 714964 746642 1285414 1493284 2323633 2570828 4647266 8400827 9294532 14462809 16801654 28925618 30207229 33603308 57851236 60414458 109210751 120828916 188016517 218421502 376033034 436843004 679752023 752066068 1359504046 1419739763 2444214721 2719008092 2839479526 4888429442 5678959052 8836776299 9776858884 17673552598 31948345081 35347105196 63896690162 114878091887 127793380324 229756183774 415328486053 459512367548 830656972106 1661313944212 5399270318689 10798540637378 21597081274756