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669417976310769 = 3272691217832
BaseRepresentation
bin1001100000110101010000010…
…0101011110010101111110001
310020210012201210202021002112100
42120031110010223302233301
51200220221003413421034
610331422212312251013
7261000565333214400
oct23015240453625761
93223181722232470
10669417976310769
1118432a629a33954
12630b58319a0a69
132296aac8c10cba
14bb44008071637
15525d1700c0099
hex260d504af2bf1

669417976310769 has 81 divisors (see below), whose sum is σ = 1127066620506489. Its totient is φ = 381756747390480.

The previous prime is 669417976310761. The next prime is 669417976310771. The reversal of 669417976310769 is 967013679714966.

The square root of 669417976310769 is 25873113.

It is a perfect power (a square), and thus also a powerful number.

669417976310769 is a `hidden beast` number, since 6 + 6 + 9 + 4 + 179 + 76 + 310 + 7 + 69 = 666.

It is not a de Polignac number, because 669417976310769 - 23 = 669417976310761 is a prime.

It is a super-2 number, since 2×6694179763107692 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (669417976310761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 375444741852 + ... + 375444743634.

Almost surely, 2669417976310769 is an apocalyptic number.

669417976310769 is the 25873113-rd square number.

669417976310769 is the 12936557-th centered octagonal number.

It is an amenable number.

669417976310769 is a deficient number, since it is larger than the sum of its proper divisors (457648644195720).

669417976310769 is an frugal number, since it uses more digits than its factorization.

669417976310769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 3888730944, while the sum is 81.

The spelling of 669417976310769 in words is "six hundred sixty-nine trillion, four hundred seventeen billion, nine hundred seventy-six million, three hundred ten thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 691 1783 2073 4837 5349 6219 12481 14511 16047 33859 37443 43533 87367 101577 112329 262101 304731 477481 786303 1232053 1432443 3179089 3342367 3696159 4297329 8624371 9537267 10027101 11088477 22253623 23396569 25873113 28611801 30081303 60370597 66760869 70189707 77619339 155775361 181111791 200282607 210569121 467326083 543335373 851348623 1401978249 2196750499 2554045869 5959440361 6590251497 7662137607 15377253493 17878321083 19770754491 41716082527 46131760479 53634963249 107640774451 125148247581 138395281437 322922323353 375444742743 968766970059 1517954594809 4553863784427 10625682163663 13661591353281 31877046490989 74379775145641 95631139472967 223139325436923 669417976310769