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12073073741520 = 24351127716509509
BaseRepresentation
bin1010111110101111101101…
…0001011000111011010000
31120202011201021012210100120
42233223323101120323100
53040301123334212040
641402143221550240
72354152010403501
oct257537321307320
946664637183316
1012073073741520
113935186423420
12142ba13b75380
1369764189a2ac
142da4a8914ba8
1515e0ad2de7d0
hexafafb458ed0

12073073741520 has 160 divisors (see below), whose sum is σ = 40976339667840. Its totient is φ = 2916239493120.

The previous prime is 12073073741501. The next prime is 12073073741527. The reversal of 12073073741520 is 2514737037021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073073741527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7523475 + ... + 8986034.

It is an arithmetic number, because the mean of its divisors is an integer number (256102122924).

Almost surely, 212073073741520 is an apocalyptic number.

12073073741520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12073073741520 is an abundant number, since it is smaller than the sum of its proper divisors (28903265926320).

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

12073073741520 is a wasteful number, since it uses less digits than its factorization.

12073073741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509813 (or 16509807 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 12073073741520 in words is "twelve trillion, seventy-three billion, seventy-three million, seven hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 277 330 440 528 554 660 831 880 1108 1320 1385 1662 2216 2640 2770 3047 3324 4155 4432 5540 6094 6648 8310 9141 11080 12188 13296 15235 16620 18282 22160 24376 30470 33240 36564 45705 48752 60940 66480 73128 91410 121880 146256 182820 243760 365640 731280 16509509 33019018 49528527 66038036 82547545 99057054 132076072 165095090 181604599 198114108 247642635 264152144 330190180 363209198 396228216 495285270 544813797 660380360 726418396 792456432 908022995 990570540 1089627594 1320760720 1452836792 1816045990 1981141080 2179255188 2724068985 2905673584 3632091980 3962282160 4358510376 4573133993 5448137970 7264183960 8717020752 9146267986 10896275940 13719401979 14528367920 18292535972 21792551880 22865669965 27438803958 36585071944 43585103760 45731339930 50304473923 54877607916 68597009895 73170143888 91462679860 100608947846 109755215832 137194019790 150913421769 182925359720 201217895692 219510431664 251522369615 274388039580 301826843538 365850719440 402435791384 503044739230 548776079160 603653687076 754567108845 804871582768 1006089478460 1097552158320 1207307374152 1509134217690 2012178956920 2414614748304 3018268435380 4024357913840 6036536870760 12073073741520