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12542105152 = 2643107191223
BaseRepresentation
bin10111010111001000…
…10101011001000000
31012101002011221211001
423223210111121000
5201141234331102
65432312501344
7622543064143
oct135344253100
935332157731
1012542105152
115356767265
1225203aa854
13124b56c6c5
1486da1405a
154d6154487
hex2eb915640

12542105152 has 112 divisors (see below), whose sum is σ = 25955500032. Its totient is φ = 6009131520.

The previous prime is 12542105117. The next prime is 12542105171. The reversal of 12542105152 is 25150124521.

It is a self number, because there is not a number n which added to its sum of digits gives 12542105152.

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, 56242513 + ... + 56242735.

It is an arithmetic number, because the mean of its divisors is an integer number (231745536).

Almost surely, 212542105152 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 12542105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977750016).

12542105152 is an abundant number, since it is smaller than the sum of its proper divisors (13413394880).

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

12542105152 is a wasteful number, since it uses less digits than its factorization.

12542105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 12542105152 its reverse (25150124521), we get a palindrome (37692229673).

The spelling of 12542105152 in words is "twelve billion, five hundred forty-two million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 107 172 191 214 223 344 382 428 446 688 764 856 892 1376 1528 1712 1784 2752 3056 3424 3568 4601 6112 6848 7136 8213 9202 9589 12224 14272 16426 18404 19178 20437 23861 32852 36808 38356 40874 42593 47722 65704 73616 76712 81748 85186 95444 131408 147232 153424 163496 170372 190888 262816 294464 306848 326992 340744 381776 525632 613696 653984 681488 763552 878791 1026023 1307968 1362976 1527104 1757582 1831499 2052046 2725952 3515164 3662998 4104092 4557451 7030328 7325996 8208184 9114902 14060656 14651992 16416368 18229804 28121312 29303984 32832736 36459608 56242624 58607968 65665472 72919216 117215936 145838432 195970393 291676864 391940786 783881572 1567763144 3135526288 6271052576 12542105152