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34513032554 = 27112131739059
BaseRepresentation
bin100000001001001000…
…110001010101101010
310022002021100201011222
4200021020301111222
51031140314020204
623504410022042
72331156636110
oct401110612552
9108067321158
1034513032554
1113700786200
126832417922
133340382870
141955987ab0
15d6ee3dabe
hex80923156a

34513032554 has 96 divisors (see below), whose sum is σ = 70447950720. Its totient is φ = 12339169920.

The previous prime is 34513032553. The next prime is 34513032569. The reversal of 34513032554 is 45523031543.

It is a happy number.

It is a super-3 number, since 3×345130325543 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34513032553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3805277 + ... + 3814335.

It is an arithmetic number, because the mean of its divisors is an integer number (733832820).

Almost surely, 234513032554 is an apocalyptic number.

34513032554 is an abundant number, since it is smaller than the sum of its proper divisors (35934918166).

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

34513032554 is a wasteful number, since it uses less digits than its factorization.

34513032554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 34513032554 in words is "thirty-four billion, five hundred thirteen million, thirty-two thousand, five hundred fifty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 173 182 242 286 346 847 1001 1211 1573 1694 1903 2002 2249 2422 3146 3806 4498 9059 11011 13321 15743 18118 20933 22022 24739 26642 31486 41866 49478 63413 99649 117767 126826 146531 173173 199298 235534 272129 293062 346346 544258 697543 824369 1096139 1295437 1395086 1567207 1648738 1904903 2192278 2590874 3134414 3809806 7672973 9068059 10970449 14249807 15345946 17239277 18136118 20373691 21940898 28499614 34478554 40747382 99748649 120674939 142615837 189632047 199497298 224110601 241349878 285231674 379264094 448221202 1327424329 1568774207 2465216611 2654848658 3137548414 4930433222 17256516277 34513032554