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34501921116 = 22313475979757
BaseRepresentation
bin100000001000011110…
…011000100101011100
310022001111110012011020
4200020132120211130
51031124442433431
623503331524140
72330663330205
oct401036304534
9108044405136
1034501921116
11136a5486aa3
12682a759650
13333ac92150
1419542d45ac
15d6de96696
hex80879895c

34501921116 has 96 divisors (see below), whose sum is σ = 90043591680. Its totient is φ = 10213872384.

The previous prime is 34501921081. The next prime is 34501921117. The reversal of 34501921116 is 61112910543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501921117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392710 + ... + 472466.

It is an arithmetic number, because the mean of its divisors is an integer number (937954080).

Almost surely, 234501921116 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 34501921116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45021795840).

34501921116 is an abundant number, since it is smaller than the sum of its proper divisors (55541670564).

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

34501921116 is a wasteful number, since it uses less digits than its factorization.

34501921116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79883 (or 79881 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 34501921116 in words is "thirty-four billion, five hundred one million, nine hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 59 78 94 118 141 156 177 188 236 282 354 564 611 708 767 1222 1534 1833 2301 2444 2773 3068 3666 4602 5546 7332 8319 9204 11092 16638 33276 36049 72098 79757 108147 144196 159514 216294 239271 319028 432588 478542 957084 1036841 2073682 3110523 3748579 4147364 4705663 6221046 7497158 9411326 11245737 12442092 14116989 14994316 18822652 22491474 28233978 44982948 48731527 56467956 61173619 97463054 122347238 146194581 183520857 194926108 221166161 244694476 292389162 367041714 442332322 584778324 663498483 734083428 884664644 1326996966 2653993932 2875160093 5750320186 8625480279 11500640372 17250960558 34501921116