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12253032688 = 2413253193443
BaseRepresentation
bin10110110100101011…
…00111000011110000
31011121221020112221111
423122111213003300
5200043234021223
65343505003104
7612433026241
oct133225470360
934557215844
1012253032688
1152185768a6
12245b623494
1312036c9700
14843486cc8
154baaa330d
hex2da5670f0

12253032688 has 120 divisors (see below), whose sum is σ = 26387074512. Its totient is φ = 5507334144.

The previous prime is 12253032601. The next prime is 12253032713. The reversal of 12253032688 is 88623035221.

12253032688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12253032688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27658995 + ... + 27659437.

Almost surely, 212253032688 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 12253032688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193537256).

12253032688 is an abundant number, since it is smaller than the sum of its proper divisors (14134041824).

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

12253032688 is a wasteful number, since it uses less digits than its factorization.

12253032688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 12253032688 in words is "twelve billion, two hundred fifty-three million, thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 169 193 208 212 338 386 424 443 676 689 772 848 886 1352 1378 1544 1772 2509 2704 2756 3088 3544 5018 5512 5759 7088 8957 10036 10229 11024 11518 17914 20072 20458 23036 23479 32617 35828 40144 40916 46072 46958 65234 71656 74867 81832 85499 92144 93916 130468 132977 143312 149734 163664 170998 187832 260936 265954 299468 305227 341996 375664 521872 531908 598936 610454 683992 1063816 1111487 1197872 1220908 1367984 1728701 2127632 2222974 2441816 3457402 3967951 4445948 4531447 4883632 6914804 7935902 8891896 9062894 13829608 14449331 15871804 17783792 18125788 27659216 28898662 31743608 36251576 57797324 58908811 63487216 72503152 115594648 117817622 231189296 235635244 471270488 765814543 942540976 1531629086 3063258172 6126516344 12253032688