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66827374320 = 24357119333343
BaseRepresentation
bin111110001111001110…
…001100111011110000
320101111022111100121210
4332033032030323300
52043330301434240
650411114320120
74554021211050
oct761716147360
9211438440553
1066827374320
1126383346483
1210b50429040
1363c0071955
14333d515560
151b11d1d780
hexf8f38cef0

66827374320 has 160 divisors (see below), whose sum is σ = 236965404672. Its totient is φ = 15261566976.

The previous prime is 66827374307. The next prime is 66827374333. The reversal of 66827374320 is 2347372866.

It is an interprime number because it is at equal distance from previous prime (66827374307) and next prime (66827374333).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66827374320.

It is a congruent number.

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, 1987569 + ... + 2020911.

Almost surely, 266827374320 is an apocalyptic number.

66827374320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66827374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118482702336).

66827374320 is an abundant number, since it is smaller than the sum of its proper divisors (170138030352).

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

66827374320 is a wasteful number, since it uses less digits than its factorization.

66827374320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34559 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 66827374320 in words is "sixty-six billion, eight hundred twenty-seven million, three hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1193 1680 2386 3579 4772 5965 7158 8351 9544 11930 14316 16702 17895 19088 23860 25053 28632 33343 33404 35790 41755 47720 50106 57264 66686 66808 71580 83510 95440 100029 100212 125265 133372 133616 143160 166715 167020 200058 200424 233401 250530 266744 286320 333430 334040 400116 400848 466802 500145 501060 533488 666860 668080 700203 800232 933604 1000290 1002120 1167005 1333720 1400406 1600464 1867208 2000580 2004240 2334010 2667440 2800812 3501015 3734416 4001160 4668020 5601624 7002030 8002320 9336040 11203248 14004060 18672080 28008120 39778199 56016240 79556398 119334597 159112796 198890995 238669194 278447393 318225592 397781990 477338388 556894786 596672985 636451184 795563980 835342179 954676776 1113789572 1193345970 1392236965 1591127960 1670684358 1909353552 2227579144 2386691940 2784473930 3182255920 3341368716 4176710895 4455158288 4773383880 5568947860 6682737432 8353421790 9546767760 11137895720 13365474864 16706843580 22275791440 33413687160 66827374320