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564739065816 = 2331753181144289
BaseRepresentation
bin10000011011111010001…
…00100100011111011000
31222222200122012000010220
420031331010210133120
533223041200101231
61111234302040040
755541521566432
oct10157504443730
91888618160126
10564739065816
111a8560530882
1291549b79020
1341340666303
141d495253652
15ea54448896
hex837d1247d8

564739065816 has 128 divisors (see below), whose sum is σ = 1531528689600. Its totient is φ = 172868567040.

The previous prime is 564739065811. The next prime is 564739065859. The reversal of 564739065816 is 618560937465.

It is a super-3 number, since 3×5647390658163 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564739065816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564739065811) 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 31 ways as a sum of consecutive naturals, for example, 3841800 + ... + 3986088.

Almost surely, 2564739065816 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 564739065816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765764344800).

564739065816 is an abundant number, since it is smaller than the sum of its proper divisors (966789623784).

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

564739065816 is a wasteful number, since it uses less digits than its factorization.

564739065816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144549 (or 144545 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 564739065816 in words is "five hundred sixty-four billion, seven hundred thirty-nine million, sixty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 181 204 212 318 362 408 424 543 636 724 901 1086 1272 1448 1802 2172 2703 3077 3604 4344 5406 6154 7208 9231 9593 10812 12308 18462 19186 21624 24616 28779 36924 38372 57558 73848 76744 115116 144289 163081 230232 288578 326162 432867 489243 577156 652324 865734 978486 1154312 1304648 1731468 1956972 2452913 3462936 3913944 4905826 7358739 7647317 9811652 14717478 15294634 19623304 22941951 26116309 29434956 30589268 45883902 52232618 58869912 61178536 78348927 91767804 104465236 130004389 156697854 183535608 208930472 260008778 313395708 390013167 443977253 520017556 626791416 780026334 887954506 1040035112 1331931759 1384164377 1560052668 1775909012 2663863518 2768328754 3120105336 3551818024 4152493131 5327727036 5536657508 8304986262 10655454072 11073315016 16609972524 23530794409 33219945048 47061588818 70592383227 94123177636 141184766454 188246355272 282369532908 564739065816