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12294091928064 = 29329614524571
BaseRepresentation
bin1011001011100111000011…
…1110110111001000000000
31121112022012101220222110110
42302321300332313020000
53102411300013144224
642051454452431320
72406135026112342
oct262716076671000
947468171828413
1012294091928064
113a0a993429221
121466816618540
136b24354cb12b
14307074201292
15164be6aa4929
hexb2e70fb7200

12294091928064 has 160 divisors (see below), whose sum is σ = 34437060440640. Its totient is φ = 3891854131200.

The previous prime is 12294091928059. The next prime is 12294091928117. The reversal of 12294091928064 is 46082919049221.

It is a super-2 number, since 2×122940919280642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12294091927995 and 12294091928013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454899 + ... + 4979469.

It is an arithmetic number, because the mean of its divisors is an integer number (215231627754).

Almost surely, 212294091928064 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 12294091928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218530220320).

12294091928064 is an abundant number, since it is smaller than the sum of its proper divisors (22142968512576).

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

12294091928064 is an equidigital number, since it uses as much as digits as its factorization.

12294091928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524682 (or 4524666 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 12294091928064 in words is "twelve trillion, two hundred ninety-four billion, ninety-one million, nine hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 128 174 183 192 232 244 256 348 366 384 464 488 512 696 732 768 928 976 1392 1464 1536 1769 1856 1952 2784 2928 3538 3712 3904 5307 5568 5856 7076 7424 7808 10614 11136 11712 14152 14848 15616 21228 22272 23424 28304 31232 42456 44544 46848 56608 84912 93696 113216 169824 226432 339648 452864 679296 905728 1358592 2717184 4524571 9049142 13573713 18098284 27147426 36196568 54294852 72393136 108589704 131212559 144786272 217179408 262425118 275998831 289572544 393637677 434358816 524850236 551997662 579145088 787275354 827996493 868717632 1049700472 1103995324 1158290176 1574550708 1655992986 1737435264 2099400944 2207990648 2316580352 3149101416 3311985972 3474870528 4198801888 4415981296 6298202832 6623971944 6949741056 8003966099 8397603776 8831962592 12596405664 13247943888 16007932198 16795207552 17663925184 24011898297 25192811328 26495887776 32015864396 33590415104 35327850368 48023796594 50385622656 52991775552 64031728792 67180830208 70655700736 96047593188 100771245312 105983551104 128063457584 141311401472 192095186376 201542490624 211967102208 256126915168 384190372752 423934204416 512253830336 768380745504 1024507660672 1536761491008 2049015321344 3073522982016 4098030642688 6147045964032 12294091928064