Search a number
-
+
2829600297368 = 2313531249411011
BaseRepresentation
bin101001001011010001010…
…100100001000110011000
3101000111200201011111101122
4221023101110201012120
5332330010134003433
610003522254304412
7411301063453115
oct51132124410630
911014621144348
102829600297368
119a1032667059
1239848b4b8108
13176aa3b399b0
149ad4c13590c
154d90ec93198
hex292d1521198

2829600297368 has 64 divisors (see below), whose sum is σ = 5826095100000. Its totient is φ = 1280299438080.

The previous prime is 2829600297347. The next prime is 2829600297371. The reversal of 2829600297368 is 8637920069282.

It is a self number, because there is not a number n which added to its sum of digits gives 2829600297368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6678983 + ... + 7089993.

Almost surely, 22829600297368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829600297368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913047550000).

2829600297368 is an abundant number, since it is smaller than the sum of its proper divisors (2996494802632).

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

2829600297368 is a wasteful number, since it uses less digits than its factorization.

2829600297368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412332 (or 412328 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 2829600297368 in words is "two trillion, eight hundred twenty-nine billion, six hundred million, two hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1249 1378 2498 2756 4996 5512 9992 16237 32474 64948 66197 129896 132394 264788 411011 529576 822022 860561 1644044 1721122 3288088 3442244 5343143 6884488 10686286 21372572 21783583 42745144 43567166 87134332 174268664 283186579 513352739 566373158 1026705478 1132746316 2053410956 2265492632 4106821912 6673585607 13347171214 26694342428 27207695167 53388684856 54415390334 108830780668 217661561336 353700037171 707400074342 1414800148684 2829600297368