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66411448296 = 233193715432551
BaseRepresentation
bin111101110110011011…
…100100011111101000
320100102022212010101020
4331312123210133220
52042002312321141
650301535452440
74540510665534
oct756633443750
9210368763336
1066411448296
112618a593066
1210a55087120
136354b4538b
1433001a6bc4
151ada561266
hexf766e47e8

66411448296 has 128 divisors (see below), whose sum is σ = 179677132800. Its totient is φ = 20384006400.

The previous prime is 66411448283. The next prime is 66411448303. The reversal of 66411448296 is 69284411466.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 26032221 + ... + 26034771.

It is an arithmetic number, because the mean of its divisors is an integer number (1403727600).

Almost surely, 266411448296 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 66411448296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89838566400).

66411448296 is an abundant number, since it is smaller than the sum of its proper divisors (113265684504).

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

66411448296 is a wasteful number, since it uses less digits than its factorization.

66411448296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4155 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The spelling of 66411448296 in words is "sixty-six billion, four hundred eleven million, four hundred forty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 1543 2109 2551 2812 3086 4218 4629 5102 5624 6172 7653 8436 9258 10204 12344 15306 16872 18516 20408 29317 30612 37032 48469 57091 58634 61224 87951 94387 96938 114182 117268 145407 171273 175902 188774 193876 228364 234536 283161 290814 342546 351804 377548 387752 456728 566322 581628 685092 703608 755096 1084729 1132644 1163256 1370184 1793353 2169458 2265288 3254187 3586706 3936193 4338916 5380059 6508374 7173412 7872386 8677832 10760118 11808579 13016748 14346824 15744772 21520236 23617158 26033496 31489544 43040472 47234316 74787667 94468632 145639141 149575334 224363001 291278282 299150668 436917423 448726002 582556564 598301336 873834846 897452004 1165113128 1747669692 1794904008 2767143679 3495339384 5534287358 8301431037 11068574716 16602862074 22137149432 33205724148 66411448296