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66654031640 = 23572178319073
BaseRepresentation
bin111110000100111000…
…111100111100011000
320101001020022122011112
4332010320330330120
52043001413003030
650342003115452
74546514630600
oct760470747430
9211036278145
1066654031640
11262a4510569
1210b02372b88
13639318c011
1433244b1c00
151b019cca95
hexf84e3cf18

66654031640 has 96 divisors (see below), whose sum is σ = 174563722080. Its totient is φ = 22838796288.

The previous prime is 66654031627. The next prime is 66654031679. The reversal of 66654031640 is 4613045666.

It is a super-2 number, since 2×666540316402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3485144 + ... + 3504216.

It is an arithmetic number, because the mean of its divisors is an integer number (1818372105).

Almost surely, 266654031640 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 66654031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87281861040).

66654031640 is an abundant number, since it is smaller than the sum of its proper divisors (107909690440).

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

66654031640 is a wasteful number, since it uses less digits than its factorization.

66654031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881 (or 20870 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 66654031640 in words is "sixty-six billion, six hundred fifty-four million, thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1783 1960 3566 7132 8915 12481 14264 17830 19073 24962 35660 38146 49924 62405 71320 76292 87367 95365 99848 124810 133511 152584 174734 190730 249620 267022 349468 381460 436835 499240 534044 667555 698936 762920 873670 934577 1068088 1335110 1747340 1869154 2670220 3494680 3738308 4672885 5340440 7476616 9345770 18691540 34007159 37383080 68014318 136028636 170035795 238050113 272057272 340071590 476100226 680143180 952200452 1190250565 1360286360 1666350791 1904400904 2380501130 3332701582 4761002260 6665403164 8331753955 9522004520 13330806328 16663507910 33327015820 66654031640