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201344650680 = 233567227110321
BaseRepresentation
bin1011101110000100010…
…0111000110110111000
3201020201001111000110110
42323201010320312320
511244323212310210
6232255122344320
720355336202245
oct2734104706670
9636631430413
10201344650680
1178431896158
1233031abb0a0
1315ca9a8b774
149a609065cc
155386534420
hex2ee1138db8

201344650680 has 128 divisors (see below), whose sum is σ = 615755623680. Its totient is φ = 52657059840.

The previous prime is 201344650679. The next prime is 201344650757. The reversal of 201344650680 is 86056443102.

201344650680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1769920 + ... + 1880240.

It is an arithmetic number, because the mean of its divisors is an integer number (4810590810).

Almost surely, 2201344650680 is an apocalyptic number.

201344650680 is a gapful number since it is divisible by the number (20) 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 201344650680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307877811840).

201344650680 is an abundant number, since it is smaller than the sum of its proper divisors (414410973000).

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

201344650680 is a wasteful number, since it uses less digits than its factorization.

201344650680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110629 (or 110625 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 201344650680 in words is "two hundred one billion, three hundred forty-four million, six hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 227 268 335 402 454 536 670 681 804 908 1005 1135 1340 1362 1608 1816 2010 2270 2680 2724 3405 4020 4540 5448 6810 8040 9080 13620 15209 27240 30418 45627 60836 76045 91254 110321 121672 152090 182508 220642 228135 304180 330963 365016 441284 456270 551605 608360 661926 882568 912540 1103210 1323852 1654815 1825080 2206420 2647704 3309630 4412840 6619260 7391507 13238520 14783014 22174521 25042867 29566028 36957535 44349042 50085734 59132056 73915070 75128601 88698084 100171468 110872605 125214335 147830140 150257202 177396168 200342936 221745210 250428670 295660280 300514404 375643005 443490420 500857340 601028808 751286010 886980840 1001714680 1502572020 1677872089 3005144040 3355744178 5033616267 6711488356 8389360445 10067232534 13422976712 16778720890 20134465068 25168081335 33557441780 40268930136 50336162670 67114883560 100672325340 201344650680