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31634135104 = 26111319118097
BaseRepresentation
bin11101011101100010…
…101001100001000000
310000122122012120022111
4131131202221201000
51004241314310404
622311005145104
72166631466065
oct353542514100
9100578176274
1031634135104
111246370aa10
12616a25b194
132ca1ac0050
1417614a6c6c
15c5231c104
hex75d8a9840

31634135104 has 112 divisors (see below), whose sum is σ = 74138674176. Its totient is φ = 13202841600.

The previous prime is 31634135081. The next prime is 31634135147. The reversal of 31634135104 is 40153143613.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738984 + ... + 1757080.

It is an arithmetic number, because the mean of its divisors is an integer number (661952448).

Almost surely, 231634135104 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 31634135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37069337088).

31634135104 is an abundant number, since it is smaller than the sum of its proper divisors (42504539072).

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

31634135104 is a wasteful number, since it uses less digits than its factorization.

31634135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 31634135104 its reverse (40153143613), we get a palindrome (71787278717).

The spelling of 31634135104 in words is "thirty-one billion, six hundred thirty-four million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 191 208 286 352 382 416 572 704 764 832 1144 1528 2101 2288 2483 3056 4202 4576 4966 6112 8404 9152 9932 12224 16808 18097 19864 27313 33616 36194 39728 54626 67232 72388 79456 109252 134464 144776 158912 199067 218504 235261 289552 398134 437008 470522 579104 796268 874016 941044 1158208 1592536 1748032 1882088 2587871 3185072 3456527 3764176 5175742 6370144 6913054 7528352 10351484 12740288 13826108 15056704 20702968 27652216 38021797 41405936 44934851 55304432 76043594 82811872 89869702 110608864 152087188 165623744 179739404 221217728 304174376 359478808 494283361 608348752 718957616 988566722 1216697504 1437915232 1977133444 2433395008 2875830464 3954266888 7908533776 15817067552 31634135104