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66601350864 = 24321961399059
BaseRepresentation
bin111110000001101111…
…111111011011010000
320100220120012011201200
4332001233333123100
52042344421211424
650332442031200
74545305066406
oct760157773320
9210816164650
1066601350864
11262777a9734
1210aa87a8500
1363852a5669
14331b4bb476
151aec0738c9
hexf81bff6d0

66601350864 has 120 divisors (see below), whose sum is σ = 199418263200. Its totient is φ = 20687166720.

The previous prime is 66601350853. The next prime is 66601350869. The reversal of 66601350864 is 46805310666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66601350869) 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, 32634 + ... + 366425.

It is an arithmetic number, because the mean of its divisors is an integer number (1661818860).

Almost surely, 266601350864 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 66601350864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99709131600).

66601350864 is an abundant number, since it is smaller than the sum of its proper divisors (132816912336).

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

66601350864 is a wasteful number, since it uses less digits than its factorization.

66601350864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399153 (or 399144 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 66601350864 in words is "sixty-six billion, six hundred one million, three hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 61 72 76 114 122 144 152 171 183 228 244 304 342 366 456 488 549 684 732 912 976 1098 1159 1368 1464 2196 2318 2736 2928 3477 4392 4636 6954 8784 9272 10431 13908 18544 20862 27816 41724 55632 83448 166896 399059 798118 1197177 1596236 2394354 3192472 3591531 4788708 6384944 7183062 7582121 9577416 14366124 15164242 19154832 22746363 24342599 28732248 30328484 45492726 48685198 57464496 60656968 68239089 73027797 90985452 97370396 121313936 136478178 146055594 181970904 194740792 219083391 272956356 292111188 363941808 389481584 438166782 462509381 545912712 584222376 876333564 925018762 1091825424 1168444752 1387528143 1752667128 1850037524 2775056286 3505334256 3700075048 4162584429 5550112572 7400150096 8325168858 11100225144 16650337716 22200450288 33300675432 66601350864