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764369424963468 = 22323116329314341147
BaseRepresentation
bin1010110111001100001010000…
…0000011010101011110001100
310201020102000002110112111200200
42231303002200003111132030
51300141412040242312333
611305402244410453500
7320000603625101142
oct25563024003253614
93636360073474620
10764369424963468
1120160828635a755
127188bab9a34290
1326a6795c3a77cc
14d6a796b345592
155d58009a7dc13
hex2b730a00d578c

764369424963468 has 144 divisors (see below), whose sum is σ = 2013568770210816. Its totient is φ = 244221685338240.

The previous prime is 764369424963467. The next prime is 764369424963491. The reversal of 764369424963468 is 864369424963467.

764369424963468 is a `hidden beast` number, since 7 + 6 + 4 + 3 + 6 + 94 + 2 + 4 + 9 + 63 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (764369424963467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46128471 + ... + 60469617.

Almost surely, 2764369424963468 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 764369424963468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006784385105408).

764369424963468 is an abundant number, since it is smaller than the sum of its proper divisors (1249199345247348).

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

764369424963468 is a wasteful number, since it uses less digits than its factorization.

764369424963468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14341644 (or 14341639 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 81.

Subtracting 764369424963468 from its reverse (864369424963467), we obtain a palindrome (99999999999999).

The spelling of 764369424963468 in words is "seven hundred sixty-four trillion, three hundred sixty-nine billion, four hundred twenty-four million, nine hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 163 186 279 293 326 372 489 558 586 652 879 978 1116 1172 1467 1758 1956 2637 2934 3516 5053 5274 5868 9083 10106 10548 15159 18166 20212 27249 30318 36332 45477 47759 54498 60636 81747 90954 95518 108996 143277 163494 181908 191036 286554 326988 429831 573108 859662 1480529 1719324 2961058 4441587 5922116 8883174 13324761 14341147 17766348 26649522 28682294 43023441 53299044 57364588 86046882 129070323 172093764 258140646 444575557 516281292 889151114 1333726671 1778302228 2337606961 2667453342 4001180013 4201956071 4675213922 5334906684 7012820883 8002360026 8403912142 9350427844 12605868213 14025641766 16004720052 16807824284 21038462649 25211736426 28051283532 37817604639 42076925298 50423472852 72465815791 75635209278 84153850596 130260638201 144931631582 151270418556 217397447373 260521276402 289863263164 390781914603 434794894746 521042552804 652192342119 684918839573 781563829206 869589789492 1172345743809 1304384684238 1369837679146 1563127658412 2054756518719 2344691487618 2608769368476 2739675358292 4109513037438 4689382975236 6164269556157 8219026074876 12328539112314 21232484026763 24657078224628 42464968053526 63697452080289 84929936107052 127394904160578 191092356240867 254789808321156 382184712481734 764369424963468