Search a number
-
+
12501553024 = 271731241769
BaseRepresentation
bin10111010010010011…
…01000111110000000
31012021020212200202101
423221021220332000
5201100344144044
65424303400144
7621541306312
oct135111507600
935236780671
1012501553024
115335889904
12250a8b3054
13124304176c
148684997b2
154d27e3cd4
hex2e9268f80

12501553024 has 128 divisors (see below), whose sum is σ = 27369619200. Its totient is φ = 5662310400.

The previous prime is 12501553021. The next prime is 12501553037. The reversal of 12501553024 is 42035510521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12501552983 and 12501553001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12501553021) 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, 16256512 + ... + 16257280.

It is an arithmetic number, because the mean of its divisors is an integer number (213825150).

Almost surely, 212501553024 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 12501553024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684809600).

12501553024 is an abundant number, since it is smaller than the sum of its proper divisors (14868066176).

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

12501553024 is a wasteful number, since it uses less digits than its factorization.

12501553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 12501553024 in words is "twelve billion, five hundred one million, five hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 241 248 272 482 496 527 544 769 964 992 1054 1088 1538 1928 1984 2108 2176 3076 3856 3968 4097 4216 6152 7471 7712 8194 8432 12304 13073 14942 15424 16388 16864 23839 24608 26146 29884 30848 32776 33728 47678 49216 52292 59768 65552 67456 95356 98432 104584 119536 127007 131104 185329 190712 209168 239072 254014 262208 370658 381424 405263 418336 478144 508028 524416 741316 762848 810526 836672 956288 1016056 1482632 1525696 1621052 1673344 2032112 2965264 3051392 3150593 3242104 4064224 5745199 5930528 6301186 6484208 8128448 11490398 11861056 12602372 12968416 16256896 22980796 23722112 25204744 25936832 45961592 50409488 51873664 91923184 97668383 100818976 183846368 195336766 201637952 367692736 390673532 403275904 735385472 781347064 1562694128 3125388256 6250776512 12501553024