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34012065256 = 23132972231163
BaseRepresentation
bin11111101011010001…
…101110110111101000
310020210100200221020121
4133223101232313220
51024124042042011
623342552333024
72312564533051
oct375321566750
9106710627217
1034012065256
1113473a19044
1267126a4174
13329064c400
14190921d728
15d40e83e71
hex7eb46ede8

34012065256 has 96 divisors (see below), whose sum is σ = 70140591360. Its totient is φ = 15453075456.

The previous prime is 34012065239. The next prime is 34012065271. The reversal of 34012065256 is 65256021043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29244531 + ... + 29245693.

It is an arithmetic number, because the mean of its divisors is an integer number (730631160).

Almost surely, 234012065256 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 34012065256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35070295680).

34012065256 is an abundant number, since it is smaller than the sum of its proper divisors (36128526104).

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

34012065256 is a wasteful number, since it uses less digits than its factorization.

34012065256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 34012065256 its reverse (65256021043), we get a palindrome (99268086299).

The spelling of 34012065256 in words is "thirty-four billion, twelve million, sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 97 104 169 194 223 338 388 446 676 776 892 1163 1261 1352 1784 2326 2522 2899 4652 5044 5798 9304 10088 11596 15119 16393 21631 23192 30238 32786 37687 43262 60476 65572 75374 86524 112811 120952 131144 150748 173048 196547 225622 259349 281203 301496 393094 451244 518698 562406 786188 902488 1037396 1124812 1466543 1572376 2074792 2249624 2933086 3371537 3655639 5866172 6743074 7311278 11732344 13486148 14622556 19065059 25156853 26972296 29245112 38130118 43829981 50313706 76260236 87659962 100627412 152520472 175319924 201254824 327039089 350639848 654078178 1308156356 2616312712 4251508157 8503016314 17006032628 34012065256