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34066666703352 = 23347263599191707
BaseRepresentation
bin1111011111011110000111…
…00100010100100111111000
311110121202000120112212220110
413233233003210110213320
513431122013134001402
6200242002144024320
710114143521131053
oct757570344244770
9143552016485813
1034066666703352
11a944657268678
1239a24219020a0
13160161bc1263a
1485ab9a739a9a
153e124391656c
hex1efbc39149f8

34066666703352 has 128 divisors (see below), whose sum is σ = 87455655936000. Its totient is φ = 11053148366208.

The previous prime is 34066666703351. The next prime is 34066666703357. The reversal of 34066666703352 is 25330766666043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34066666703292 and 34066666703301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066666703351) 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, 177605883 + ... + 177797589.

It is an arithmetic number, because the mean of its divisors is an integer number (683247312000).

Almost surely, 234066666703352 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 34066666703352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43727827968000).

34066666703352 is an abundant number, since it is smaller than the sum of its proper divisors (53388989232648).

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

34066666703352 is a wasteful number, since it uses less digits than its factorization.

34066666703352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192625 (or 192621 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 57.

The spelling of 34066666703352 in words is "thirty-four trillion, sixty-six billion, six hundred sixty-six million, seven hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 263 282 376 526 564 599 789 1052 1128 1198 1578 1797 2104 2396 3156 3594 4792 6312 7188 12361 14376 24722 28153 37083 49444 56306 74166 84459 98888 112612 148332 157537 168918 191707 225224 296664 315074 337836 383414 472611 575121 630148 675672 766828 945222 1150242 1260296 1533656 1890444 2300484 3780888 4600968 7404239 9010229 14808478 18020458 22212717 27030687 29616956 36040916 44425434 50418941 54061374 59233912 72081832 88850868 100837882 108122748 114832493 151256823 177701736 201675764 216245496 229664986 302513646 344497479 403351528 459329972 605027292 688994958 918659944 1210054584 1377989916 2369690227 2755979832 4739380454 5397127171 7109070681 9478760908 10794254342 14218141362 16191381513 18957521816 21588508684 28436282724 30200945659 32382763026 43177017368 56872565448 60401891318 64765526052 90602836977 120803782636 129531052104 181205673954 241607565272 362411347908 724822695816 1419444445973 2838888891946 4258333337919 5677777783892 8516666675838 11355555567784 17033333351676 34066666703352