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12193527960 = 23325163207797
BaseRepresentation
bin10110101101100101…
…00111100010011000
31011110210021101210200
423112302213202120
5144433020343320
65333541342200
7611111164125
oct132662474230
934423241720
1012193527960
115197a24039
122443707960
1311c4294003
148395d774c
154b574c290
hex2d6ca7898

12193527960 has 96 divisors (see below), whose sum is σ = 39872280240. Its totient is φ = 3231643392.

The previous prime is 12193527959. The next prime is 12193527971. The reversal of 12193527960 is 6972539121.

It is a happy number.

12193527960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121935279602 (a number of 21 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45219 + ... + 162578.

Almost surely, 212193527960 is an apocalyptic number.

12193527960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12193527960 is an abundant number, since it is smaller than the sum of its proper divisors (27678752280).

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

12193527960 is a wasteful number, since it uses less digits than its factorization.

12193527960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207977 (or 207970 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12193527960 in words is "twelve billion, one hundred ninety-three million, five hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 29340 58680 207797 415594 623391 831188 1038985 1246782 1662376 1870173 2077970 2493564 3116955 3740346 4155940 4987128 6233910 7480692 8311880 9350865 12467820 14961384 18701730 24935640 33870911 37403460 67741822 74806920 101612733 135483644 169354555 203225466 270967288 304838199 338709110 406450932 508063665 609676398 677418220 812901864 1016127330 1219352796 1354836440 1524190995 2032254660 2438705592 3048381990 4064509320 6096763980 12193527960