Search a number
-
+
2800738786725 = 3352113112167867
BaseRepresentation
bin101000110000011001000…
…010100101110110100101
3100220202012022010211211000
4220300121002211312211
5331341403112133400
65542350332103513
7406226626614165
oct50603102456645
910822168124730
102800738786725
1198a872036a20
12392975904b99
131741545b0649
14997b0da85a5
154ccc10a4600
hex28c190a5da5

2800738786725 has 96 divisors (see below), whose sum is σ = 5793852026880. Its totient is φ = 1314129528000.

The previous prime is 2800738786723. The next prime is 2800738786739. The reversal of 2800738786725 is 5276878370082.

It is not a de Polignac number, because 2800738786725 - 21 = 2800738786723 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800738786723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5853759 + ... + 6314108.

It is an arithmetic number, because the mean of its divisors is an integer number (60352625280).

Almost surely, 22800738786725 is an apocalyptic number.

2800738786725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2800738786725 is an abundant number, since it is smaller than the sum of its proper divisors (2993113240155).

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

2800738786725 is a wasteful number, since it uses less digits than its factorization.

2800738786725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167928 (or 12167917 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2800738786725 in words is "two trillion, eight hundred billion, seven hundred thirty-eight million, seven hundred eighty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 31 33 45 55 75 93 99 135 155 165 225 275 279 297 341 465 495 675 775 825 837 1023 1395 1485 1705 2325 2475 3069 4185 5115 6975 7425 8525 9207 15345 20925 25575 46035 76725 230175 12167867 36503601 60839335 109510803 133846537 182518005 304196675 328532409 377203877 401539611 547554015 669232685 912590025 1131611631 1204618833 1642662045 1886019385 2007698055 2737770075 3346163425 3394834893 3613856499 4149242647 5658058155 6023094165 8213310225 9430096925 10038490275 10184504679 12447727941 16974174465 18069282495 20746213235 28290290775 30115470825 37343183823 50922523395 62238639705 84870872325 90346412475 103731066175 112029551469 186715919115 254612616975 311193198525 560147757345 933579595575 2800738786725