Search a number
-
+
33013414112 = 257178669489
BaseRepresentation
bin11110101111110000…
…001011100011100000
310011012202120012102012
4132233300023203200
51020102413222422
623055520012052
72246050250510
oct365760134340
9104182505365
1033013414112
1113001236718
126494161028
133161795183
141852743840
15cd346c4e2
hex7afc0b8e0

33013414112 has 48 divisors (see below), whose sum is σ = 78649613280. Its totient is φ = 13316333568.

The previous prime is 33013414103. The next prime is 33013414117. The reversal of 33013414112 is 21141431033.

It is a super-2 number, since 2×330134141122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013414117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4330937 + ... + 4338552.

It is an arithmetic number, because the mean of its divisors is an integer number (1638533610).

Almost surely, 233013414112 is an apocalyptic number.

33013414112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33013414112 is an abundant number, since it is smaller than the sum of its proper divisors (45636199168).

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

33013414112 is a wasteful number, since it uses less digits than its factorization.

33013414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669523 (or 8669515 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 33013414112 its reverse (21141431033), we get a palindrome (54154845145).

The spelling of 33013414112 in words is "thirty-three billion, thirteen million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 8669489 17338978 34677956 60686423 69355912 121372846 138711824 147381313 242745692 277423648 294762626 485491384 589525252 970982768 1031669191 1179050504 1941965536 2063338382 2358101008 4126676764 4716202016 8253353528 16506707056 33013414112