Search a number
-
+
13833187014200 = 235269165935071
BaseRepresentation
bin1100100101001100101000…
…1100101011011000111000
31210222102212120212021020012
43021103022030223120320
53303120331333423300
645230513421521052
72625262161356021
oct311231214533070
953872776767205
1013833187014200
114453692491454
121674b6a413188
1379460536caa8
1435b75bb9dc48
1518ec76288435
hexc94ca32b638

13833187014200 has 24 divisors (see below), whose sum is σ = 32162159808480. Its totient is φ = 5533274805600.

The previous prime is 13833187014193. The next prime is 13833187014223. The reversal of 13833187014200 is 241078133831.

It is a super-2 number, since 2×138331870142002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34582967336 + ... + 34582967735.

It is an arithmetic number, because the mean of its divisors is an integer number (1340089992020).

Almost surely, 213833187014200 is an apocalyptic number.

13833187014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13833187014200 is an abundant number, since it is smaller than the sum of its proper divisors (18328972794280).

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

13833187014200 is a wasteful number, since it uses less digits than its factorization.

13833187014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69165935087 (or 69165935078 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 13833187014200 in words is "thirteen trillion, eight hundred thirty-three billion, one hundred eighty-seven million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 69165935071 138331870142 276663740284 345829675355 553327480568 691659350710 1383318701420 1729148376775 2766637402840 3458296753550 6916593507100 13833187014200