Search a number
-
+
12607619790 = 2352919773561
BaseRepresentation
bin10111011110111100…
…10000001011001110
31012112122110110000010
423233132100023032
5201310022313130
65443013014050
7624300000003
oct135736201316
935478413003
1012607619790
11538a744397
12253a324326
13125bcca76c
148785c98aa
154dbc960b0
hex2ef7902ce

12607619790 has 64 divisors (see below), whose sum is σ = 31460996160. Its totient is φ = 3229578240.

The previous prime is 12607619779. The next prime is 12607619831. The reversal of 12607619790 is 9791670621.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 134610 + ... + 208170.

It is an arithmetic number, because the mean of its divisors is an integer number (491578065).

Almost surely, 212607619790 is an apocalyptic number.

12607619790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12607619790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730498080).

12607619790 is an abundant number, since it is smaller than the sum of its proper divisors (18853376370).

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

12607619790 is a wasteful number, since it uses less digits than its factorization.

12607619790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73797.

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 12607619790 in words is "twelve billion, six hundred seven million, six hundred nineteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 197 290 394 435 591 870 985 1182 1970 2955 5713 5910 11426 17139 28565 34278 57130 73561 85695 147122 171390 220683 367805 441366 735610 1103415 2133269 2206830 4266538 6399807 10666345 12799614 14491517 21332690 28983034 31999035 43474551 63998070 72457585 86949102 144915170 217372755 420253993 434745510 840507986 1260761979 2101269965 2521523958 4202539930 6303809895 12607619790