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33213441042 = 2341723524351
BaseRepresentation
bin11110111011101011…
…001110010000010010
310011201200221121210000
4132323223032100102
51021010120103132
623131423150430
72254026406425
oct367353162022
9104650847700
1033213441042
11130a4137931
12652b145416
13319405b7c2
1418711319bc
15ce5cce87c
hex7bbace412

33213441042 has 80 divisors (see below), whose sum is σ = 82226783232. Its totient is φ = 9966844800.

The previous prime is 33213440977. The next prime is 33213441109. The reversal of 33213441042 is 24014431233.

33213441042 is a `hidden beast` number, since 3 + 3 + 213 + 441 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×332134410422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33213440997 and 33213441015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198834 + ... + 325517.

Almost surely, 233213441042 is an apocalyptic number.

33213441042 is an abundant number, since it is smaller than the sum of its proper divisors (49013342190).

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

33213441042 is a wasteful number, since it uses less digits than its factorization.

33213441042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524405 (or 524396 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33213441042 its reverse (24014431233), we get a palindrome (57227872275).

The spelling of 33213441042 in words is "thirty-three billion, two hundred thirteen million, four hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 306 391 414 459 621 782 918 1173 1242 1377 1863 2346 2754 3519 3726 7038 10557 21114 31671 63342 524351 1048702 1573053 3146106 4719159 8913967 9438318 12060073 14157477 17827934 24120146 26741901 28314954 36180219 42472431 53483802 72360438 80225703 84944862 108540657 160451406 205021241 217081314 240677109 325621971 410042482 481354218 615063723 651243942 722031327 976865913 1230127446 1444062654 1845191169 1953731826 3690382338 5535573507 11071147014 16606720521 33213441042