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34059776088 = 23313433138111
BaseRepresentation
bin11111101110000111…
…101111000001011000
310020220200110220012110
4133232013233001120
51024223300313323
623351415112320
72314014214512
oct375607570130
9106820426173
1034059776088
1113498945988
1267266726a0
13329a4b5880
1419116bcbb2
15d4525a793
hex7ee1ef058

34059776088 has 128 divisors (see below), whose sum is σ = 94143329280. Its totient is φ = 10202250240.

The previous prime is 34059776087. The next prime is 34059776099. The reversal of 34059776088 is 88067795043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34059776087) 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, 4195153 + ... + 4203263.

It is an arithmetic number, because the mean of its divisors is an integer number (735494760).

Almost surely, 234059776088 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 34059776088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071664640).

34059776088 is an abundant number, since it is smaller than the sum of its proper divisors (60083553192).

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

34059776088 is a wasteful number, since it uses less digits than its factorization.

34059776088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 34059776088 in words is "thirty-four billion, fifty-nine million, seven hundred seventy-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 313 344 516 559 626 939 1032 1118 1252 1677 1878 2236 2504 3354 3756 4069 4472 6708 7512 8111 8138 12207 13416 13459 16222 16276 24333 24414 26918 32444 32552 40377 48666 48828 53836 64888 80754 97332 97656 105443 107672 161508 174967 194664 210886 316329 323016 348773 349934 421772 524901 632658 697546 699868 843544 1046319 1049802 1265316 1395092 1399736 2092638 2099604 2530632 2538743 2790184 4185276 4199208 4534049 5077486 7616229 8370552 9068098 10154972 13602147 15232458 18136196 20309944 27204294 30464916 33003659 36272392 54408588 60929832 66007318 99010977 108817176 109165949 132014636 198021954 218331898 264029272 327497847 396043908 436663796 654995694 792087816 873327592 1309991388 1419157337 2619982776 2838314674 4257472011 5676629348 8514944022 11353258696 17029888044 34059776088