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34785707112 = 233213281132257
BaseRepresentation
bin100000011001011000…
…111100010001101000
310022210021110000100200
4200121120330101220
51032220120111422
623551430232200
72341010426502
oct403130742150
9108707400320
1034785707112
1113830696682
1268a97b5660
133384a03b60
14197dc86d72
15d88d512ac
hex81963c468

34785707112 has 96 divisors (see below), whose sum is σ = 101820143880. Its totient is φ = 10665123840.

The previous prime is 34785707101. The next prime is 34785707113. The reversal of 34785707112 is 21170758743.

34785707112 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 570 + 71 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33027246756 + 1758460356 = 181734^2 + 41934^2 .

It is not an unprimeable number, because it can be changed into a prime (34785707113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196888 + ... + 329144.

Almost surely, 234785707112 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 34785707112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910071940).

34785707112 is an abundant number, since it is smaller than the sum of its proper divisors (67034436768).

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

34785707112 is a wasteful number, since it uses less digits than its factorization.

34785707112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132563 (or 132556 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 34785707112 in words is "thirty-four billion, seven hundred eighty-five million, seven hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 281 312 468 562 843 936 1124 1686 2248 2529 3372 3653 5058 6744 7306 10116 10959 14612 20232 21918 29224 32877 43836 65754 87672 131508 132257 263016 264514 396771 529028 793542 1058056 1190313 1587084 1719341 2380626 3174168 3438682 4761252 5158023 6877364 9522504 10316046 13754728 15474069 20632092 30948138 37164217 41264184 61896276 74328434 111492651 123792552 148656868 222985302 297313736 334477953 445970604 483134821 668955906 891941208 966269642 1337911812 1449404463 1932539284 2675823624 2898808926 3865078568 4348213389 5797617852 8696426778 11595235704 17392853556 34785707112