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34411818896 = 24713412572243
BaseRepresentation
bin100000000011000110…
…101010111110010000
310021211012220112010222
4200003012222332100
51030433411201041
623450352412212
72325520430420
oct400306527620
9107735815128
1034411818896
1113659635954
126804547068
133325405820
14194635c480
15d660e974b
hex8031aaf90

34411818896 has 160 divisors (see below), whose sum is σ = 84425096448. Its totient is φ = 13223854080.

The previous prime is 34411818893. The next prime is 34411819009. The reversal of 34411818896 is 69881811443.

It is a super-2 number, since 2×344118188962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34411818893) 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, 15340751 + ... + 15342993.

Almost surely, 234411818896 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 34411818896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42212548224).

34411818896 is an abundant number, since it is smaller than the sum of its proper divisors (50013277552).

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

34411818896 is a wasteful number, since it uses less digits than its factorization.

34411818896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2563 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 53.

The spelling of 34411818896 in words is "thirty-four billion, four hundred eleven million, eight hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 257 287 328 364 514 533 574 656 728 1028 1066 1148 1456 1799 2056 2132 2243 2296 3341 3598 3731 4112 4264 4486 4592 6682 7196 7462 8528 8972 10537 13364 14392 14924 15701 17944 21074 23387 26728 28784 29159 29848 31402 35888 42148 46774 53456 58318 59696 62804 73759 84296 91963 93548 116636 125608 136981 147518 168592 183926 187096 204113 233272 251216 273962 295036 367852 374192 408226 466544 547924 576451 590072 643741 735704 816452 958867 1095848 1152902 1180144 1195519 1287482 1471408 1632904 1917734 2191696 2305804 2391038 2574964 3265808 3835468 4035157 4611608 4782076 5149928 7493863 7670936 8070314 8368633 9223216 9564152 10299856 14987726 15341872 16140628 16737266 19128304 23634491 29975452 32281256 33474532 47268982 52457041 59950904 64562512 66949064 94537964 104914082 119901808 133898128 165441437 189075928 209828164 307248383 330882874 378151856 419656328 614496766 661765748 839312656 1228993532 1323531496 2150738681 2457987064 2647062992 4301477362 4915974128 8602954724 17205909448 34411818896