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12295645530 = 2357433135221
BaseRepresentation
bin10110111001110000…
…01010100101011010
31011201220102111202220
423130320022211122
5200140141124110
65352030204510
7613461156030
oct133470124532
934656374686
1012295645530
11523a631523
122471953736
13120c4995cc
14848dba550
154be6be370
hex2dce0a95a

12295645530 has 64 divisors (see below), whose sum is σ = 33803336448. Its totient is φ = 2803921920.

The previous prime is 12295645511. The next prime is 12295645543. The reversal of 12295645530 is 3554659221.

It is a happy number.

12295645530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 23320 + ... + 158540.

It is an arithmetic number, because the mean of its divisors is an integer number (528177132).

Almost surely, 212295645530 is an apocalyptic number.

12295645530 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 12295645530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901668224).

12295645530 is an abundant number, since it is smaller than the sum of its proper divisors (21507690918).

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

12295645530 is a wasteful number, since it uses less digits than its factorization.

12295645530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135671.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 12295645530 in words is "twelve billion, two hundred ninety-five million, six hundred forty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 433 866 1299 2165 2598 3031 4330 6062 6495 9093 12990 15155 18186 30310 45465 90930 135221 270442 405663 676105 811326 946547 1352210 1893094 2028315 2839641 4056630 4732735 5679282 9465470 14198205 28396410 58550693 117101386 175652079 292753465 351304158 409854851 585506930 819709702 878260395 1229564553 1756520790 2049274255 2459129106 4098548510 6147822765 12295645530