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235085877768 = 23373380941389
BaseRepresentation
bin1101101011110000110…
…1011101001000001000
3211110210112112221120210
43122330031131020020
512322423441042033
6255555202121120
722661434663560
oct3327415351010
9743715487523
10235085877768
11907769384a5
12396899501a0
13192262806b1
14b541b83da0
1561ad819d63
hex36bc35d208

235085877768 has 64 divisors (see below), whose sum is σ = 671710032000. Its totient is φ = 67163784192.

The previous prime is 235085877751. The next prime is 235085877797. The reversal of 235085877768 is 867778580532.

It is a super-3 number, since 3×2350858777683 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235085877699 and 235085877708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5659218 + ... + 5700606.

It is an arithmetic number, because the mean of its divisors is an integer number (10495469250).

Almost surely, 2235085877768 is an apocalyptic number.

235085877768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235085877768 is an abundant number, since it is smaller than the sum of its proper divisors (436624154232).

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

235085877768 is a wasteful number, since it uses less digits than its factorization.

235085877768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75214 (or 75210 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 235085877768 in words is "two hundred thirty-five billion, eighty-five million, eight hundred seventy-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 33809 41389 67618 82778 101427 124167 135236 165556 202854 236663 248334 270472 289723 331112 405708 473326 496668 579446 709989 811416 869169 946652 993336 1158892 1419978 1738338 1893304 2317784 2839956 3476676 5679912 6953352 1399320701 2798641402 4197962103 5597282804 8395924206 9795244907 11194565608 16791848412 19590489814 29385734721 33583696824 39180979628 58771469442 78361959256 117542938884 235085877768