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634342504226436 = 2232293319733188603
BaseRepresentation
bin1001000000111011100101111…
…1101000010101111010000100
310002012000112212210102002020100
42100032321133220111322010
51131121031422040221221
610125044531244004100
7250420506413566515
oct22016713750257204
93065015783362210
10634342504226436
111741371663a7325
125b18b9b1230630
13212c531a6a4835
14b2904aba98a0c
154d50a86daa926
hex240ee5fa15e84

634342504226436 has 144 divisors (see below), whose sum is σ = 1663960344096960. Its totient is φ = 203517430744320.

The previous prime is 634342504226377. The next prime is 634342504226437. The reversal of 634342504226436 is 634622405243436.

It is a happy number.

634342504226436 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 42 + 504 + 2 + 2 + 64 + 36 = 666.

It is a super-2 number, since 2×6343425042264362 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634342504226437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3363280111 + ... + 3363468713.

It is an arithmetic number, because the mean of its divisors is an integer number (11555280167340).

Almost surely, 2634342504226436 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 634342504226436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831980172048480).

634342504226436 is an abundant number, since it is smaller than the sum of its proper divisors (1029617839870524).

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

634342504226436 is a wasteful number, since it uses less digits than its factorization.

634342504226436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198706 (or 198701 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 54.

The spelling of 634342504226436 in words is "six hundred thirty-four trillion, three hundred forty-two billion, five hundred four million, two hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 331 348 522 662 993 1044 1324 1986 2979 3972 5958 9599 9733 11916 19198 19466 28797 29199 38396 38932 57594 58398 86391 87597 115188 116796 172782 175194 188603 282257 345564 350388 377206 564514 565809 754412 846771 1129028 1131618 1693542 1697427 2263236 2540313 3221623 3387084 3394854 5080626 5469487 6443246 6789708 9664869 10161252 10938974 12886492 16408461 19329738 21877948 28994607 32816922 38659476 49225383 57989214 62427593 65633844 93427067 98450766 115978428 124855186 186854134 187282779 196901532 249710372 280281201 373708268 374565558 560562402 561848337 749131116 840843603 1121124804 1123696674 1681687206 1810400197 1835672999 2247393348 3363374412 3620800394 3671345998 5431200591 5507018997 7241600788 7342691996 10862401182 11014037994 16293601773 16521056991 21724802364 22028075988 32587203546 33042113982 53234516971 65174407092 66084227964 106469033942 159703550913 212938067884 319407101826 479110652739 607607762669 638814203652 958221305478 1215215525338 1822823288007 1916442610956 2430431050676 3645646576014 5468469864021 7291293152028 10936939728042 17620625117401 21873879456084 35241250234802 52861875352203 70482500469604 105723750704406 158585626056609 211447501408812 317171252113218 634342504226436