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42246254772216 = 2332118327742957
BaseRepresentation
bin10011001101100001110010…
…00000100011111111111000
312112120200222010120102201200
421212300321000203333320
521014130312210202331
6225503354515414200
711620122401424105
oct1146607100437770
9175520863512650
1042246254772216
1112508599509030
1248a37352b4360
131a75a5ccbcbb1
14a60a301c5aac
154d3dc6d165e6
hex266c39023ff8

42246254772216 has 144 divisors (see below), whose sum is σ = 126340451953560. Its totient is φ = 12647654048640.

The previous prime is 42246254772097. The next prime is 42246254772307. The reversal of 42246254772216 is 61227745264224.

42246254772216 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 6 + 2 + 547 + 72 + 21 + 6 = 666.

42246254772216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1584610 + ... + 9327566.

Almost surely, 242246254772216 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 42246254772216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63170225976780).

42246254772216 is an abundant number, since it is smaller than the sum of its proper divisors (84094197181344).

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

42246254772216 is a wasteful number, since it uses less digits than its factorization.

42246254772216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743146 (or 7743056 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 42246254772216 in words is "forty-two trillion, two hundred forty-six billion, two hundred fifty-four million, seven hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1992 2739 2988 3652 5478 5976 6889 7304 8217 10956 13778 16434 20667 21912 27556 32868 41334 55112 62001 65736 75779 82668 124002 151558 165336 227337 248004 303116 454674 496008 606232 682011 909348 1364022 1818696 2728044 5456088 7742957 15485914 23228871 30971828 46457742 61943656 69686613 85172527 92915484 139373226 170345054 185830968 255517581 278746452 340690108 511035162 557492904 642665431 681380216 766552743 1022070324 1285330862 1533105486 1927996293 2044140648 2570661724 3066210972 3855992586 5141323448 5783988879 6132421944 7069319741 7711985172 11567977758 14138639482 15423970344 21207959223 23135955516 28277278964 42415918446 46271911032 53341230773 56554557928 63623877669 84831836892 106682461546 127247755338 160023692319 169663673784 213364923092 254495510676 320047384638 426729846184 480071076957 508991021352 586753538503 640094769276 960142153914 1173507077006 1280189538552 1760260615509 1920284307828 2347014154012 3520521231018 3840568615656 4694028308024 5280781846527 7041042462036 10561563693054 14082084924072 21123127386108 42246254772216