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12737820996 = 22331747147613
BaseRepresentation
bin10111101110011101…
…11011100101000100
31012212201110100111000
423313032323211010
5202041340232441
65503543413300
7630440456235
oct136716734504
935781410430
1012737820996
11544719349a
122575a54230
13127cc869b4
1488b9dd08c
154e84142b6
hex2f73bb944

12737820996 has 96 divisors (see below), whose sum is σ = 35710778880. Its totient is φ = 3911127552.

The previous prime is 12737820971. The next prime is 12737821007. The reversal of 12737820996 is 69902873721.

It is a super-2 number, since 2×127378209962 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12486 + ... + 160098.

It is an arithmetic number, because the mean of its divisors is an integer number (371987280).

Almost surely, 212737820996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12737820996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855389440).

12737820996 is an abundant number, since it is smaller than the sum of its proper divisors (22972957884).

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

12737820996 is a wasteful number, since it uses less digits than its factorization.

12737820996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147690 (or 147682 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12737820996 in words is "twelve billion, seven hundred thirty-seven million, eight hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 94 102 108 141 153 188 204 282 306 423 459 564 612 799 846 918 1269 1598 1692 1836 2397 2538 3196 4794 5076 7191 9588 14382 21573 28764 43146 86292 147613 295226 442839 590452 885678 1328517 1771356 2509421 2657034 3985551 5018842 5314068 6937811 7528263 7971102 10037684 13875622 15056526 15942204 20813433 22584789 27751244 30113052 41626866 45169578 62440299 67754367 83253732 90339156 117942787 124880598 135508734 187320897 235885574 249761196 271017468 353828361 374641794 471771148 707656722 749283588 1061485083 1415313444 2122970166 3184455249 4245940332 6368910498 12737820996