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643352465152 = 2817151979001
BaseRepresentation
bin10010101110010101100…
…10111000111100000000
32021111121100011110121201
421113022302320330000
541020041212341102
61211315124030544
764323605503465
oct11271262707400
92244540143551
10643352465152
112289317702a1
12a4829532454
134888b431557
14231d1ba766c
1511b05d1c987
hex95cacb8f00

643352465152 has 72 divisors (see below), whose sum is σ = 1368738780192. Its totient is φ = 300748800000.

The previous prime is 643352465149. The next prime is 643352465167. The reversal of 643352465152 is 251564253346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167652 + ... + 1146652.

It is an arithmetic number, because the mean of its divisors is an integer number (19010260836).

Almost surely, 2643352465152 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 643352465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684369390096).

643352465152 is an abundant number, since it is smaller than the sum of its proper divisors (725386315040).

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

643352465152 is a wasteful number, since it uses less digits than its factorization.

643352465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979185 (or 979171 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 46.

The spelling of 643352465152 in words is "six hundred forty-three billion, three hundred fifty-two million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 544 604 1088 1208 2176 2416 2567 4352 4832 5134 9664 10268 19328 20536 38656 41072 82144 164288 328576 657152 979001 1958002 3916004 7832008 15664016 16643017 31328032 33286034 62656064 66572068 125312128 133144136 147829151 250624256 266288272 295658302 532576544 591316604 1065153088 1182633208 2130306176 2365266416 2513095567 4260612352 4730532832 5026191134 9461065664 10052382268 18922131328 20104764536 37844262656 40209529072 80419058144 160838116288 321676232576 643352465152