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64815412640 = 25511107344177
BaseRepresentation
bin111100010111010011…
…001011010110100000
320012022002122010001112
4330113103023112200
52030220221201030
645435323122452
74453120626416
oct742723132640
9205262563045
1064815412640
1125540679930
121068a673428
13615c299b94
1431cc2252b6
151a45396a95
hexf174cb5a0

64815412640 has 96 divisors (see below), whose sum is σ = 168608672064. Its totient is φ = 23348899840.

The previous prime is 64815412631. The next prime is 64815412679. The reversal of 64815412640 is 4621451846.

64815412640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16232 + ... + 360408.

It is an arithmetic number, because the mean of its divisors is an integer number (1756340334).

Almost surely, 264815412640 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 64815412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84304336032).

64815412640 is an abundant number, since it is smaller than the sum of its proper divisors (103793259424).

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

64815412640 is a wasteful number, since it uses less digits than its factorization.

64815412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344310 (or 344302 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 64815412640 in words is "sixty-four billion, eight hundred fifteen million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 107 110 160 176 214 220 352 428 440 535 856 880 1070 1177 1712 1760 2140 2354 3424 4280 4708 5885 8560 9416 11770 17120 18832 23540 37664 47080 94160 188320 344177 688354 1376708 1720885 2753416 3441770 3785947 5506832 6883540 7571894 11013664 13767080 15143788 18929735 27534160 30287576 36826939 37859470 55068320 60575152 73653878 75718940 121150304 147307756 151437880 184134695 294615512 302875760 368269390 405096329 589231024 605751520 736538780 810192658 1178462048 1473077560 1620385316 2025481645 2946155120 3240770632 4050963290 5892310240 6481541264 8101926580 12963082528 16203853160 32407706320 64815412640