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34552244412 = 22337109419303
BaseRepresentation
bin100000001011011110…
…010110100010111100
310022012000010212202000
4200023132112202330
51031230333310122
623512330302300
72332144142310
oct401336264274
9108160125660
1034552244412
11137209286a4
126843587990
13334853174a
14195ac73b40
15d735d70ac
hex80b7968bc

34552244412 has 96 divisors (see below), whose sum is σ = 103316505600. Its totient is φ = 9781477056.

The previous prime is 34552244407. The next prime is 34552244413. The reversal of 34552244412 is 21444225543.

34552244412 is a `hidden beast` number, since 34 + 552 + 24 + 44 + 12 = 666.

It is a super-3 number, since 3×345522444123 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34552244413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127248 + ... + 292055.

It is an arithmetic number, because the mean of its divisors is an integer number (1076213600).

Almost surely, 234552244412 is an apocalyptic number.

It is an amenable number.

34552244412 is an abundant number, since it is smaller than the sum of its proper divisors (68764261188).

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

34552244412 is a wasteful number, since it uses less digits than its factorization.

34552244412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419432 (or 419424 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 34552244412 its reverse (21444225543), we get a palindrome (55996469955).

The spelling of 34552244412 in words is "thirty-four billion, five hundred fifty-two million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1308 1526 1962 2289 2943 3052 3924 4578 5886 6867 9156 11772 13734 20601 27468 41202 82404 419303 838606 1257909 1677212 2515818 2935121 3773727 5031636 5870242 7547454 8805363 11321181 11740484 15094908 17610726 22642362 26416089 35221452 45284724 45704027 52832178 79248267 91408054 105664356 137112081 158496534 182816108 274224162 316993068 319928189 411336243 548448324 639856378 822672486 959784567 1234008729 1279712756 1645344972 1919569134 2468017458 2879353701 3839138268 4936034916 5758707402 8638061103 11517414804 17276122206 34552244412