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32242004051004 = 223211376379344963
BaseRepresentation
bin1110101010010111011010…
…01100101100010000111100
311020011022020200212011121100
413111023231030230100330
513211223111014113004
6152323434442533100
76535256626365336
oct725135514542074
9136138220764540
1032242004051004
11a300836815280
123748871b07190
1314cb53c30a227
147d674271a456
153ada4db25739
hex1d52ed32c43c

32242004051004 has 144 divisors (see below), whose sum is σ = 91327314798720. Its totient is φ = 9504724187520.

The previous prime is 32242004050931. The next prime is 32242004051009. The reversal of 32242004051004 is 40015040024223.

32242004051004 is a `hidden beast` number, since 3 + 2 + 242 + 0 + 0 + 405 + 10 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32242004051009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93292627 + ... + 93637589.

It is an arithmetic number, because the mean of its divisors is an integer number (634217463880).

Almost surely, 232242004051004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32242004051004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45663657399360).

32242004051004 is an abundant number, since it is smaller than the sum of its proper divisors (59085310747716).

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

32242004051004 is a wasteful number, since it uses less digits than its factorization.

32242004051004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351400 (or 351395 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 32242004051004 its reverse (40015040024223), we get a palindrome (72257044075227).

The spelling of 32242004051004 in words is "thirty-two trillion, two hundred forty-two billion, four million, fifty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 6379 7326 12758 14652 19137 25516 38274 57411 70169 76548 114822 140338 210507 229644 236023 280676 344963 421014 472046 631521 689926 708069 842028 944092 1034889 1263042 1379852 1416138 2069778 2124207 2526084 2596253 2832276 3104667 3794593 4139556 4248414 5192506 6209334 7589186 7788759 8496828 10385012 11383779 12418668 12763631 15178372 15577518 22767558 23366277 25527262 31155036 34151337 38290893 45535116 46732554 51054524 68302674 76581786 93465108 114872679 136605348 140399941 153163572 229745358 280799882 421199823 459490716 561599764 842399646 1263599469 1684799292 2200518977 2527198938 4401037954 5054397876 6601556931 8802075908 13203113862 19804670793 24205708747 26406227724 39609341586 48411417494 72617126241 79218683172 81419202149 96822834988 145234252482 162838404298 217851378723 244257606447 290468504964 325676808596 435702757446 488515212894 732772819341 871405514892 895611223639 977030425788 1465545638682 1791222447278 2686833670917 2931091277364 3582444894556 5373667341834 8060501012751 10747334683668 16121002025502 32242004051004