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107669515842 = 234735873301
BaseRepresentation
bin110010001000110011…
…0100110111001000010
3101021220200012010010000
41210101212212321002
53231001344001332
6121243535220430
710531102533000
oct1442146467102
9337820163100
10107669515842
11417316a8949
1218a4a377716
13a1cb7405b5
1452d589ba70
152c02703b7c
hex19119a6e42

107669515842 has 160 divisors (see below), whose sum is σ = 281916835200. Its totient is φ = 30701008800.

The previous prime is 107669515829. The next prime is 107669515867. The reversal of 107669515842 is 248515966701.

It is a happy number.

107669515842 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 6 + 9 + 51 + 584 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32615592 + ... + 32618892.

It is an arithmetic number, because the mean of its divisors is an integer number (1761980220).

Almost surely, 2107669515842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107669515842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958417600).

107669515842 is an abundant number, since it is smaller than the sum of its proper divisors (174247319358).

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

107669515842 is an equidigital number, since it uses as much as digits as its factorization.

107669515842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 107669515842 in words is "one hundred seven billion, six hundred sixty-nine million, five hundred fifteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 587 686 882 1029 1134 1174 1323 1761 2058 2646 3087 3301 3522 3969 4109 5283 6174 6602 7938 8218 9261 9903 10566 12327 15849 18522 19806 23107 24654 27783 28763 29709 31698 36981 46214 47547 55566 57526 59418 69321 73962 86289 89127 95094 110943 138642 161749 172578 178254 201341 207963 221886 258867 267381 323498 332829 402682 415926 485247 517734 534762 604023 623889 665658 776601 970494 1132243 1208046 1247778 1455741 1553202 1812069 1871667 1937687 2264486 2329803 2911482 3396729 3624138 3743334 3875374 4367223 4659606 5436207 5813061 6793458 8734446 10190187 10872414 11626122 13101669 13563809 16308621 17439183 20380374 26203338 27127618 30570561 32617242 34878366 40691427 52317549 61141122 81382854 91711683 94946663 104635098 122074281 156952647 183423366 189893326 244148562 284839989 313905294 366222843 569679978 664626641 732445686 854519967 1098668529 1329253282 1709039934 1993879923 2197337058 2563559901 3987759846 5127119802 5981639769 7690679703 11963279538 15381359406 17944919307 35889838614 53834757921 107669515842