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66675333420 = 223252367723789
BaseRepresentation
bin111110000110001010…
…001101100100101100
320101002201101212201100
4332012022031210230
52043022341132140
650344043443100
74550163661113
oct760612154454
9211081355640
1066675333420
112630553a943
1210b09526490
136397709b17
143327258c7a
151b037d9530
hexf8628d92c

66675333420 has 144 divisors (see below), whose sum is σ = 211362540480. Its totient is φ = 16981206528.

The previous prime is 66675333419. The next prime is 66675333421. The reversal of 66675333420 is 2433357666.

It is an interprime number because it is at equal distance from previous prime (66675333419) and next prime (66675333421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66675333421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2790886 + ... + 2814674.

It is an arithmetic number, because the mean of its divisors is an integer number (1467795420).

Almost surely, 266675333420 is an apocalyptic number.

66675333420 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 66675333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105681270240).

66675333420 is an abundant number, since it is smaller than the sum of its proper divisors (144687207060).

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

66675333420 is a wasteful number, since it uses less digits than its factorization.

66675333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24504 (or 24499 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 66675333420 in words is "sixty-six billion, six hundred seventy-five million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 677 690 828 1035 1354 1380 2031 2070 2708 3385 4062 4140 6093 6770 8124 10155 12186 13540 15571 20310 23789 24372 30465 31142 40620 46713 47578 60930 62284 71367 77855 93426 95156 118945 121860 140139 142734 155710 186852 214101 233565 237890 280278 285468 311420 356835 428202 467130 475780 547147 560556 700695 713670 856404 934260 1070505 1094294 1401390 1427340 1641441 2141010 2188588 2735735 2802780 3282882 4282020 4924323 5471470 6565764 8207205 9848646 10942940 16105153 16414410 19697292 24621615 32210306 32828820 48315459 49243230 64420612 80525765 96630918 98486460 144946377 161051530 193261836 241577295 289892754 322103060 370418519 483154590 579785508 724731885 740837038 966309180 1111255557 1449463770 1481674076 1852092595 2222511114 2898927540 3333766671 3704185190 4445022228 5556277785 6667533342 7408370380 11112555570 13335066684 16668833355 22225111140 33337666710 66675333420