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64114213894530 = 23567523202930059
BaseRepresentation
bin11101001001111110000001…
…11100011011100110000010
322102000020222210200012212020
432210333000330123212002
531400421402224111110
6344205355132342310
716335045663143022
oct1644770074334602
9272006883605766
1064114213894530
111947975a320148
127235920614996
1329a0c37ba5c27
1411b920476ba82
15762b57a7bd70
hex3a4fc0f1b982

64114213894530 has 128 divisors (see below), whose sum is σ = 156551671987200. Its totient is φ = 16800896496384.

The previous prime is 64114213894513. The next prime is 64114213894531. The reversal of 64114213894530 is 3549831241146.

64114213894530 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-3 number, since 3×641142138945303 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (64114213894531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2132930641 + ... + 2132960699.

It is an arithmetic number, because the mean of its divisors is an integer number (1223059937400).

Almost surely, 264114213894530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64114213894530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78275835993600).

64114213894530 is an abundant number, since it is smaller than the sum of its proper divisors (92437458092670).

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

64114213894530 is a wasteful number, since it uses less digits than its factorization.

64114213894530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32688.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 64114213894530 in words is "sixty-four trillion, one hundred fourteen billion, two hundred thirteen million, eight hundred ninety-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 523 670 1005 1046 1569 2010 2029 2615 3138 4058 5230 6087 7845 10145 12174 15690 20290 30059 30435 35041 60118 60870 70082 90177 105123 135943 150295 175205 180354 210246 271886 300590 350410 407829 450885 525615 679715 815658 901770 1051230 1061167 1359430 2013953 2039145 2122334 3183501 4027906 4078290 5305835 6041859 6367002 10069765 10611670 12083718 15720857 15917505 20139530 30209295 31441714 31835010 47162571 60418590 60989711 71098189 78604285 94325142 121979422 142196378 157208570 182969133 213294567 235812855 304948555 355490945 365938266 426589134 471625710 609897110 710981890 914845665 1053297419 1066472835 1829691330 2106594838 2132945670 3159892257 4086310637 5266487095 6319784514 8172621274 10532974190 12258931911 15799461285 20431553185 24517863822 31598922570 31897618853 40863106370 61294659555 63795237706 95692856559 122589319110 159488094265 191385713118 318976188530 478464282795 956928565590 2137140463151 4274280926302 6411421389453 10685702315755 12822842778906 21371404631510 32057106947265 64114213894530