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2064201727434 = 23741119367493
BaseRepresentation
bin11110000010011100000…
…000101011110111001010
321022100001202201112011220
4132002130000223313022
5232304441120234214
64220140422502510
7302063562120000
oct36023400536712
97270052645156
102064201727434
11726472074960
12294080b94a36
1311c8656535c2
1471c9d3a8a70
1538a645519a9
hex1e09c02bdca

2064201727434 has 160 divisors (see below), whose sum is σ = 5281320187584. Its totient is φ = 533370378240.

The previous prime is 2064201727433. The next prime is 2064201727453. The reversal of 2064201727434 is 4347271024602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2064201727433) 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 79 ways as a sum of consecutive naturals, for example, 30550192 + ... + 30617684.

Almost surely, 22064201727434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064201727434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640660093792).

2064201727434 is an abundant number, since it is smaller than the sum of its proper divisors (3217118460150).

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

2064201727434 is a wasteful number, since it uses less digits than its factorization.

2064201727434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67730 (or 67709 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 2064201727434 in words is "two trillion, sixty-four billion, two hundred one million, seven hundred twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 193 231 294 343 386 462 539 579 686 1029 1078 1158 1351 1617 2058 2123 2401 2702 3234 3773 4053 4246 4802 6369 7203 7546 8106 9457 11319 12738 14406 14861 18914 22638 26411 28371 29722 44583 52822 56742 66199 67493 79233 89166 104027 132398 134986 158466 198597 202479 208054 312081 397194 404958 463393 472451 624162 728189 742423 926786 944902 1390179 1417353 1456378 1484846 2184567 2227269 2780358 2834706 3307157 4369134 4454538 5097323 5196961 6614314 9921471 10194646 10393922 13026149 15291969 15590883 19842942 23150099 26052298 30583938 31181766 36378727 39078447 46300198 69450297 72757454 78156894 91183043 109136181 138900594 143287639 162050693 182366086 218272362 254651089 273549129 286575278 324101386 429862917 486152079 509302178 547098258 638281301 763953267 859725834 972304158 1003013473 1276562602 1527906534 1782557623 1914843903 2006026946 3009040419 3565115246 3829687806 4467969107 5347672869 6018080838 7021094311 8935938214 10695345738 13403907321 14042188622 21063282933 26807814642 31275783749 42126565866 49147660177 62551567498 93827351247 98295320354 147442980531 187654702494 294885961062 344033621239 688067242478 1032100863717 2064201727434