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234500772632 = 237171918776907
BaseRepresentation
bin1101101001100101010…
…1011101001100011000
3211102021202120112020012
43122121111131030120
512320224144211012
6255421141221052
722641101451650
oct3323125351430
9742252515205
10234500772632
11904a6633335
1239545a01788
1319161c9b639
14b4c8197360
156177290622
hex369955d318

234500772632 has 128 divisors (see below), whose sum is σ = 560443276800. Its totient is φ = 89549494272.

The previous prime is 234500772619. The next prime is 234500772637. The reversal of 234500772632 is 236277005432.

234500772632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2345007726322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234500772632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234500772637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33947723 + ... + 33954629.

It is an arithmetic number, because the mean of its divisors is an integer number (4378463100).

Almost surely, 2234500772632 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 234500772632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280221638400).

234500772632 is an abundant number, since it is smaller than the sum of its proper divisors (325942504168).

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

234500772632 is a wasteful number, since it uses less digits than its factorization.

234500772632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 41.

The spelling of 234500772632 in words is "two hundred thirty-four billion, five hundred million, seven hundred seventy-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 1877 2261 2584 3754 4522 6907 7508 9044 13139 13814 15016 18088 26278 27628 31909 35663 48349 52556 55256 63818 71326 96698 105112 117419 127636 131233 142652 193396 223363 234838 249641 255272 262466 285304 386792 446726 469676 499282 524932 606271 821933 893452 918631 939352 998564 1049864 1212542 1643866 1786904 1837262 1997128 2230961 2425084 3287732 3674524 4243897 4461922 4850168 6575464 7349048 8487794 8923844 12964439 15616727 16975588 17847688 25928878 31233454 33951176 51857756 62466908 90751073 103715512 124933816 181502146 220395463 246324341 363004292 440790926 492648682 726008584 881581852 985297364 1542768241 1724270387 1763163704 1970594728 3085536482 3448540774 4187513797 6171072964 6897081548 8375027594 12342145928 13794163096 16750055188 29312596579 33500110376 58625193158 117250386316 234500772632