Search a number
-
+
33706674007038 = 2333796737013491
BaseRepresentation
bin1111010100111111100100…
…10101001010101111111110
311102100022211001210010012000
413222133302111022233332
513404222232021211123
6155404344323123130
710046140542530304
oct752376225125776
9142308731703160
1033706674007038
11a815a1382271a
1239446b4b134a6
1315a66ab013076
148475a9ac6274
153d6bc4498b43
hex1ea7f254abfe

33706674007038 has 128 divisors (see below), whose sum is σ = 75341816409600. Its totient is φ = 11170099584000.

The previous prime is 33706674007037. The next prime is 33706674007049. The reversal of 33706674007038 is 83070047660733.

It is a happy number.

It is a super-2 number, since 2×337066740070382 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33706674007031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9655304473 + ... + 9655307963.

It is an arithmetic number, because the mean of its divisors is an integer number (588607940700).

Almost surely, 233706674007038 is an apocalyptic number.

33706674007038 is an abundant number, since it is smaller than the sum of its proper divisors (41635142402562).

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

33706674007038 is a wasteful number, since it uses less digits than its factorization.

33706674007038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 33706674007038 in words is "thirty-three trillion, seven hundred six billion, six hundred seventy-four million, seven thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 379 673 701 758 1137 1346 1402 2019 2103 2274 3411 3491 4038 4206 6057 6309 6822 6982 10233 10473 12114 12618 18171 18927 20466 20946 31419 36342 37854 62838 94257 188514 255067 265679 471773 510134 531358 765201 797037 943546 1323089 1415319 1530402 1594074 2295603 2349443 2391111 2447191 2646178 2830638 3969267 4245957 4591206 4698886 4782222 4894382 6886809 7048329 7173333 7341573 7938534 8491914 11907801 12737871 13773618 14096658 14346666 14683146 21144987 22024719 23815602 25475742 35723403 42289974 44049438 63434961 66074157 71446806 126869922 132148314 178801967 357603934 536405901 890438897 927485389 1072811802 1609217703 1646959543 1780877794 1854970778 2671316691 2782456167 3218435406 3293919086 4827653109 4940878629 5342633382 5564912334 8013950073 8347368501 9655306218 9881757258 14822635887 16027900146 16694737002 24041850219 25042105503 29645271774 44467907661 48083700438 50084211006 88935815322 624197666797 1248395333594 1872593000391 3745186000782 5617779001173 11235558002346 16853337003519 33706674007038