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12355434024 = 23359149157373
BaseRepresentation
bin10111000000111000…
…01111011000101000
31011220001221002011120
423200130033120220
5200300442342044
65402003455240
7615115312353
oct134034173050
934801832146
1012355434024
1152703584aa
122489987520
13121b9a120b
14852d0129a
154c4a7e519
hex2e070f628

12355434024 has 128 divisors (see below), whose sum is σ = 31909680000. Its totient is φ = 3985173504.

The previous prime is 12355434011. The next prime is 12355434031. The reversal of 12355434024 is 42043455321.

It is a Cunningham number, because it is equal to 1111552-1.

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, 33124302 + ... + 33124674.

It is an arithmetic number, because the mean of its divisors is an integer number (249294375).

Almost surely, 212355434024 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 12355434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15954840000).

12355434024 is an abundant number, since it is smaller than the sum of its proper divisors (19554245976).

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

12355434024 is a wasteful number, since it uses less digits than its factorization.

12355434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 12355434024 its reverse (42043455321), we get a palindrome (54398889345).

The spelling of 12355434024 in words is "twelve billion, three hundred fifty-five million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 149 157 177 236 298 314 354 373 447 471 472 596 628 708 746 894 942 1119 1192 1256 1416 1492 1788 1884 2238 2984 3576 3768 4476 8791 8952 9263 17582 18526 22007 23393 26373 27789 35164 37052 44014 46786 52746 55577 55578 58561 66021 70179 70328 74104 88028 93572 105492 111154 111156 117122 132042 140358 166731 175683 176056 187144 210984 222308 222312 234244 264084 280716 333462 351366 444616 468488 528168 561432 666924 702732 1333848 1380187 1405464 2760374 3279043 3455099 4140561 5520748 6558086 6910198 8281122 8725589 9837129 10365297 11041496 13116172 13820396 16562244 17451178 19674258 20730594 26176767 26232344 27640792 33124488 34902356 39348516 41461188 52353534 69804712 78697032 82922376 104707068 209414136 514809751 1029619502 1544429253 2059239004 3088858506 4118478008 6177717012 12355434024