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64640556465352 = 23719678091120831
BaseRepresentation
bin11101011001010010011010…
…11001111111110011001000
322110212120120112002011211221
432230221031121333303020
531433032324423342402
6345251243420331424
716421061151160410
oct1654511531776310
9273776515064757
1064640556465352
11196619a6a48a2a
1272bb9336a3b74
132a0b76974bbca
1411d689637b640
157716b1181337
hex3aca4d67fcc8

64640556465352 has 128 divisors (see below), whose sum is σ = 148165023744000. Its totient is φ = 25821340807680.

The previous prime is 64640556465343. The next prime is 64640556465431. The reversal of 64640556465352 is 25356465504646.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57111577 + ... + 58232407.

It is an arithmetic number, because the mean of its divisors is an integer number (1157539248000).

Almost surely, 264640556465352 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 64640556465352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74082511872000).

64640556465352 is an abundant number, since it is smaller than the sum of its proper divisors (83524467278648).

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

64640556465352 is a wasteful number, since it uses less digits than its factorization.

64640556465352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121739 (or 1121735 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 61.

The spelling of 64640556465352 in words is "sixty-four trillion, six hundred forty billion, five hundred fifty-six million, four hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 67 76 133 134 152 266 268 469 532 536 809 938 1064 1273 1618 1876 2546 3236 3752 5092 5663 6472 8911 10184 11326 15371 17822 22652 30742 35644 45304 54203 61484 71288 107597 108406 122968 215194 216812 379421 430388 433624 758842 860776 1029857 1120831 1517684 2059714 2241662 3035368 4119428 4483324 7208999 7845817 8238856 8966648 14417998 15691634 21295789 28835996 31383268 42591578 57671992 62766536 75095677 85183156 149070523 150191354 170366312 298141046 300382708 525669739 596282092 600765416 906752279 1051339478 1192564184 1426817863 1813504558 2102678956 2853635726 3627009116 4205357912 5707271452 6347265953 7254018232 9987725041 11414542904 12694531906 17228293301 19975450082 25389063812 34456586602 39950900164 50778127624 60752402693 68913173204 79901800328 120598053107 121504805386 137826346408 241196106214 243009610772 425266818851 482392212428 486019221544 850533637702 964784424856 1154295651167 1701067275404 2308591302334 3402134550808 4617182604668 8080069558169 9234365209336 16160139116338 32320278232676 64640556465352