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34681837476 = 223112135334667
BaseRepresentation
bin100000010011001100…
…101101011110100100
310022112000222220000010
4200103030231132210
51032012022244401
623533240050220
72335306516536
oct402314553644
9108460886003
1034681837476
1113787aa1900
12687aa63970
133369336c30
141970169856
15d7eb84ed6
hex81332d7a4

34681837476 has 144 divisors (see below), whose sum is σ = 97602345792. Its totient is φ = 9517896960.

The previous prime is 34681837469. The next prime is 34681837501. The reversal of 34681837476 is 67473818643.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983095 + ... + 1017761.

It is an arithmetic number, because the mean of its divisors is an integer number (677794068).

Almost surely, 234681837476 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 34681837476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48801172896).

34681837476 is an abundant number, since it is smaller than the sum of its proper divisors (62920508316).

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

34681837476 is a wasteful number, since it uses less digits than its factorization.

34681837476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34762 (or 34749 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 34681837476 in words is "thirty-four billion, six hundred eighty-one million, eight hundred thirty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 121 132 143 156 159 212 242 286 318 363 429 484 572 583 636 689 726 858 1166 1378 1452 1573 1716 1749 2067 2332 2756 3146 3498 4134 4719 6292 6413 6996 7579 8268 9438 12826 15158 18876 19239 22737 25652 30316 34667 38478 45474 69334 76956 83369 90948 104001 138668 166738 208002 250107 333476 381337 416004 450671 500214 762674 901342 1000428 1144011 1352013 1525348 1802684 1837351 2288022 2704026 3674702 4194707 4576044 4957381 5408052 5512053 7349404 8389414 9914762 11024106 12584121 14872143 16778828 19829524 20210861 22048212 23885563 25168242 29744286 40421722 47771126 50336484 54531191 59488572 60632583 71656689 80843444 95542252 109062382 121265166 143313378 163593573 218124764 222319471 242530332 262741193 286626756 327187146 444638942 525482386 654374292 666958413 788223579 889277884 1050964772 1333916826 1576447158 2667833652 2890153123 3152894316 5780306246 8670459369 11560612492 17340918738 34681837476