Search a number
-
+
12569503068 = 22328319921139
BaseRepresentation
bin10111011010011001…
…10110010101011100
31012102222201220200200
423231030312111130
5201220243044233
65435132023500
7623325004353
oct135514662534
935388656620
1012569503068
11537017a771
122529601b90
1312541431a5
1487350699a
154d8767313
hex2ed33655c

12569503068 has 72 divisors (see below), whose sum is σ = 32318832000. Its totient is φ = 4118358816.

The previous prime is 12569503049. The next prime is 12569503073. The reversal of 12569503068 is 86030596521.

12569503068 is a `hidden beast` number, since 1 + 2 + 569 + 50 + 30 + 6 + 8 = 666.

It is a super-2 number, since 2×125695030682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584043 + ... + 605181.

Almost surely, 212569503068 is an apocalyptic number.

12569503068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12569503068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159416000).

12569503068 is an abundant number, since it is smaller than the sum of its proper divisors (19749328932).

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

12569503068 is a wasteful number, since it uses less digits than its factorization.

12569503068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12569503068 in words is "twelve billion, five hundred sixty-nine million, five hundred three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 199 249 332 398 498 597 747 796 996 1194 1494 1791 2388 2988 3582 7164 16517 21139 33034 42278 49551 63417 66068 84556 99102 126834 148653 190251 198204 253668 297306 380502 594612 761004 1754537 3509074 4206661 5263611 7018148 8413322 10527222 12619983 15790833 16826644 21054444 25239966 31581666 37859949 50479932 63163332 75719898 151439796 349152863 698305726 1047458589 1396611452 2094917178 3142375767 4189834356 6284751534 12569503068