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12765424780 = 2251725094339
BaseRepresentation
bin10111110001110000…
…01110110010001100
31012221122101202202101
423320320032302030
5202120422043110
65510411204444
7631224214603
oct137070166214
935848352671
1012765424780
115460827639
122583146724
1312859000b4
14891546a3a
154eaa6813a
hex2f8e0ec8c

12765424780 has 72 divisors (see below), whose sum is σ = 28539579600. Its totient is φ = 4795259904.

The previous prime is 12765424753. The next prime is 12765424811. The reversal of 12765424780 is 8742456721.

12765424780 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 12765424780.

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, 2939851 + ... + 2944189.

It is an arithmetic number, because the mean of its divisors is an integer number (396383050).

Almost surely, 212765424780 is an apocalyptic number.

12765424780 is a gapful number since it is divisible by the number (10) 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 12765424780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269789800).

12765424780 is an abundant number, since it is smaller than the sum of its proper divisors (15774154820).

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

12765424780 is a wasteful number, since it uses less digits than its factorization.

12765424780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4872 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 12765424780 in words is "twelve billion, seven hundred sixty-five million, four hundred twenty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 509 578 1018 1156 1445 2036 2545 2890 4339 5090 5780 8653 8678 10180 17306 17356 21695 34612 43265 43390 73763 86530 86780 147101 147526 173060 294202 295052 368815 588404 735505 737630 1253971 1471010 1475260 2208551 2507942 2942020 4417102 5015884 6269855 8834204 11042755 12539710 22085510 25079420 37545367 44171020 75090734 150181468 187726835 375453670 638271239 750907340 1276542478 2553084956 3191356195 6382712390 12765424780