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66966482472 = 233314710318593
BaseRepresentation
bin111110010111100000…
…110110111000101000
320101212000020210010120
4332113200312320220
52044121404414342
650433004043240
74560330465141
oct762740667050
9211760223116
1066966482472
112644491949a
1210b8ab33520
136412b29076
143353ba6ac8
151b1e14aaec
hexf97836e28

66966482472 has 128 divisors (see below), whose sum is σ = 178216796160. Its totient is φ = 20936079360.

The previous prime is 66966482437. The next prime is 66966482533. The reversal of 66966482472 is 27428466966.

It is a super-3 number, since 3×669664824723 (a number of 33 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3592408 + ... + 3611000.

It is an arithmetic number, because the mean of its divisors is an integer number (1392318720).

Almost surely, 266966482472 is an apocalyptic number.

66966482472 is a gapful number since it is divisible by the number (62) 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 66966482472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89108398080).

66966482472 is an abundant number, since it is smaller than the sum of its proper divisors (111250313688).

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

66966482472 is a wasteful number, since it uses less digits than its factorization.

66966482472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18783 (or 18779 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 66966482472 in words is "sixty-six billion, nine hundred sixty-six million, four hundred eighty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 103 124 141 186 188 206 248 282 309 372 376 412 564 618 744 824 1128 1236 1457 2472 2914 3193 4371 4841 5828 6386 8742 9579 9682 11656 12772 14523 17484 18593 19158 19364 25544 29046 34968 37186 38316 38728 55779 58092 74372 76632 111558 116184 148744 150071 223116 300142 446232 450213 576383 600284 873871 900426 1152766 1200568 1729149 1747742 1800852 1915079 2305532 2621613 3458298 3495484 3601704 3830158 4611064 5243226 5745237 6916596 6990968 7660316 10486452 11490474 13833192 15320632 20972904 22980948 27090001 45961896 54180002 59367449 81270003 90008713 108360004 118734898 162540006 178102347 180017426 216720008 237469796 270026139 325080012 356204694 360034852 474939592 540052278 650160024 712409388 720069704 1080104556 1424818776 2160209112 2790270103 5580540206 8370810309 11161080412 16741620618 22322160824 33483241236 66966482472