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630412261463640 = 233516365634910813
BaseRepresentation
bin1000111101010110110100101…
…0111010000001011001011000
310001200002211020102021012020010
42033111231022322001121120
51130112133302413314030
610112435221141401520
7246533532344402655
oct21725551272013130
93050084212235203
10630412261463640
1117296137a867517
125a856152a092a0
132109b80c946226
14b19618b01ac2c
154cd370a05b6b0
hex23d5b4ae81658

630412261463640 has 128 divisors (see below), whose sum is σ = 1903129785987840. Its totient is φ = 167053095415296.

The previous prime is 630412261463599. The next prime is 630412261463681. The reversal of 630412261463640 is 46364162214036.

It is an interprime number because it is at equal distance from previous prime (630412261463599) and next prime (630412261463681).

It is a self number, because there is not a number n which added to its sum of digits gives 630412261463640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125916874 + ... + 130827686.

It is an arithmetic number, because the mean of its divisors is an integer number (14868201453030).

Almost surely, 2630412261463640 is an apocalyptic number.

630412261463640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630412261463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951564892993920).

630412261463640 is an abundant number, since it is smaller than the sum of its proper divisors (1272717524524200).

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

630412261463640 is a wasteful number, since it uses less digits than its factorization.

630412261463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917553 (or 4917549 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 630412261463640 in words is "six hundred thirty trillion, four hundred twelve billion, two hundred sixty-one million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 6563 9780 13126 19560 19689 26252 32815 39378 52504 65630 78756 98445 131260 157512 196890 262520 393780 787560 1069769 2139538 3209307 4279076 4910813 5348845 6418614 8558152 9821626 10697690 12837228 14732439 16046535 19643252 21395380 24554065 25674456 29464878 32093070 39286504 42790760 49108130 58929756 64186140 73662195 98216260 117859512 128372280 147324390 196432520 294648780 589297560 800462519 1600925038 2401387557 3201850076 4002312595 4802775114 6403700152 8004625190 9605550228 12006937785 16009250380 19211100456 24013875570 32018500760 32229665719 48027751140 64459331438 96055502280 96688997157 128918662876 161148328595 193377994314 257837325752 322296657190 386755988628 483444985785 644593314380 773511977256 966889971570 1289186628760 1933779943140 3867559886280 5253435512197 10506871024394 15760306536591 21013742048788 26267177560985 31520613073182 42027484097576 52534355121970 63041226146364 78801532682955 105068710243940 126082452292728 157603065365910 210137420487880 315206130731820 630412261463640