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66326761400 = 23521794120731
BaseRepresentation
bin111101110001011000…
…100000111110111000
320100012102111120210112
4331301120200332320
52041314122331100
650245312403452
74535432112134
oct756130407670
9210172446715
1066326761400
1126146800599
1210a30846588
1363404338a3
1432d2c403c4
151ad2dd3b35
hexf71620fb8

66326761400 has 96 divisors (see below), whose sum is σ = 163462283280. Its totient is φ = 24942336000.

The previous prime is 66326761393. The next prime is 66326761409. The reversal of 66326761400 is 416762366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66326761409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3189035 + ... + 3209765.

Almost surely, 266326761400 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 66326761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81731141640).

66326761400 is an abundant number, since it is smaller than the sum of its proper divisors (97135521880).

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

66326761400 is a wasteful number, since it uses less digits than its factorization.

66326761400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705 (or 21696 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 66326761400 in words is "sixty-six billion, three hundred twenty-six million, seven hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 941 1700 1882 3400 3764 4705 7528 9410 15997 18820 20731 23525 31994 37640 41462 47050 63988 79985 82924 94100 103655 127976 159970 165848 188200 207310 319940 352427 399925 414620 518275 639880 704854 799850 829240 1036550 1409708 1599700 1762135 2073100 2819416 3199400 3524270 4146200 7048540 8810675 14097080 17621350 19507871 35242700 39015742 70485400 78031484 97539355 156062968 195078710 331633807 390157420 487696775 663267614 780314840 975393550 1326535228 1658169035 1950787100 2653070456 3316338070 3901574200 6632676140 8290845175 13265352280 16581690350 33163380700 66326761400