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34639013376 = 293211683377
BaseRepresentation
bin100000010000101001…
…010110011000000000
310022102001102012101100
4200100221112120000
51031420041412001
623525110134400
72334246520122
oct402051263000
9108361365340
1034639013376
1113765902490
126868651400
1333604c1b26
1419685bd212
15d7b026586
hex810a56600

34639013376 has 120 divisors (see below), whose sum is σ = 109058928264. Its totient is φ = 10496655360.

The previous prime is 34639013363. The next prime is 34639013377. The reversal of 34639013376 is 67331093643.

34639013376 is a `hidden beast` number, since 3 + 4 + 639 + 0 + 1 + 3 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×346390133762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34639013377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291001 + ... + 392376.

Almost surely, 234639013376 is an apocalyptic number.

34639013376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34639013376 is an abundant number, since it is smaller than the sum of its proper divisors (74419914888).

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

34639013376 is a wasteful number, since it uses less digits than its factorization.

34639013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683412 (or 683393 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 34639013376 in words is "thirty-four billion, six hundred thirty-nine million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 683377 1366754 2050131 2733508 4100262 5467016 6150393 7517147 8200524 10934032 12300786 15034294 16401048 21868064 22551441 24601572 30068588 32802096 43736128 45102882 49203144 60137176 65604192 67654323 87472256 90205764 98406288 120274352 131208384 135308646 174944512 180411528 196812576 240548704 262416768 270617292 349889024 360823056 393625152 481097408 524833536 541234584 721646112 787250304 962194816 1049667072 1082469168 1443292224 1574500608 1924389632 2164938336 2886584448 3149001216 3848779264 4329876672 5773168896 8659753344 11546337792 17319506688 34639013376