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12345212341824 = 263237935386891
BaseRepresentation
bin1011001110100101011111…
…1111110000111001000000
31121201012011002000001211020
42303221113333300321000
53104230443324414244
642131151240345440
72412624604342455
oct263512777607100
947635132001736
1012345212341824
113a2a63658975a
121474702775280
136b71c141837b
1430972366582c
151661d99b3d19
hexb3a57ff0e40

12345212341824 has 112 divisors (see below), whose sum is σ = 34514958981120. Its totient is φ = 3886329807360.

The previous prime is 12345212341823. The next prime is 12345212341837. The reversal of 12345212341824 is 42814321254321.

It is a super-2 number, since 2×123452123418242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12345212341823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17344582 + ... + 18042309.

Almost surely, 212345212341824 is an apocalyptic number.

It is an amenable number.

12345212341824 is an abundant number, since it is smaller than the sum of its proper divisors (22169746639296).

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

12345212341824 is a wasteful number, since it uses less digits than its factorization.

12345212341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35387008 (or 35386998 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The spelling of 12345212341824 in words is "twelve trillion, three hundred forty-five billion, two hundred twelve million, three hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 138 158 184 192 237 276 316 368 474 552 632 736 948 1104 1264 1472 1817 1896 2208 2528 3634 3792 4416 5056 5451 7268 7584 10902 14536 15168 21804 29072 43608 58144 87216 116288 174432 348864 35386891 70773782 106160673 141547564 212321346 283095128 424642692 566190256 813898493 849285384 1132380512 1627796986 1698570768 2264761024 2441695479 2795564389 3255593972 3397141536 4883390958 5591128778 6511187944 6794283072 8386693167 9766781916 11182257556 13022375888 16773386334 19533563832 22364515112 26044751776 33546772668 39067127664 44729030224 52089503552 64297980947 67093545336 78134255328 89458060448 128595961894 134187090672 156268510656 178916120896 192893942841 257191923788 268374181344 385787885682 514383847576 536748362688 771575771364 1028767695152 1543151542728 2057535390304 3086303085456 4115070780608 6172606170912 12345212341824