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643354561864 = 237217751128551
BaseRepresentation
bin10010101110010101110…
…10111000110101001000
32021111121111002222202201
421113022322320311020
541020042231434424
61211315241005544
764323632355400
oct11271272706510
92244544088681
10643354561864
11228932972613
12a482a1838b4
134888b9b6a01
14231d2191800
1511b060d3d44
hex95caeb8d48

643354561864 has 96 divisors (see below), whose sum is σ = 1487768290560. Its totient is φ = 259156800000.

The previous prime is 643354561807. The next prime is 643354561867. The reversal of 643354561864 is 468165453346.

643354561864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (643354561867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4940389 + ... + 5068939.

It is an arithmetic number, because the mean of its divisors is an integer number (15497586360).

Almost surely, 2643354561864 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 643354561864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743884145280).

643354561864 is an abundant number, since it is smaller than the sum of its proper divisors (844413728696).

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

643354561864 is a wasteful number, since it uses less digits than its factorization.

643354561864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129339 (or 129328 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 55.

The spelling of 643354561864 in words is "six hundred forty-three billion, three hundred fifty-four million, five hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 751 833 952 1502 1666 3004 3332 5257 6008 6664 10514 12767 21028 25534 36799 42056 51068 73598 89369 102136 128551 147196 178738 257102 294392 357476 514204 625583 714952 899857 1028408 1251166 1799714 2185367 2502332 3599428 4370734 5004664 6298999 7198856 8741468 12597998 15297569 17482936 25195996 30595138 50391992 61190276 96541801 107082983 122380552 193083602 214165966 386167204 428331932 675792607 772334408 856663864 1351585214 1641210617 2703170428 3282421234 4730548249 5406340856 6564842468 9461096498 11488474319 13129684936 18922192996 22976948638 37844385992 45953897276 80419320233 91907794552 160838640466 321677280932 643354561864