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66766153014 = 23411233744027
BaseRepresentation
bin111110001011100100…
…101010010100110110
320101100001021222210000
4332023210222110312
52043214113344024
650401050212130
74552345636221
oct761344522466
9211301258700
1066766153014
1126351830a60
1210b33a24046
1363b0487b22
14333533a5b8
151b0b778cc9
hexf8b92a536

66766153014 has 160 divisors (see below), whose sum is σ = 174908802816. Its totient is φ = 18829039680.

The previous prime is 66766152989. The next prime is 66766153033. The reversal of 66766153014 is 41035166766.

It is a super-2 number, since 2×667661530142 (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 79 ways as a sum of consecutive naturals, for example, 1494469 + ... + 1538495.

Almost surely, 266766153014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66766153014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87454401408).

66766153014 is an abundant number, since it is smaller than the sum of its proper divisors (108142649802).

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

66766153014 is a wasteful number, since it uses less digits than its factorization.

66766153014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44112 (or 44103 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66766153014 in words is "sixty-six billion, seven hundred sixty-six million, one hundred fifty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 37 46 54 66 69 74 81 99 111 138 162 198 207 222 253 297 333 407 414 506 594 621 666 759 814 851 891 999 1221 1242 1518 1702 1782 1863 1998 2277 2442 2553 2997 3663 3726 4554 5106 5994 6831 7326 7659 9361 10989 13662 15318 18722 20493 21978 22977 28083 32967 40986 44027 45954 56166 65934 68931 84249 88054 132081 137862 168498 252747 264162 396243 484297 505494 758241 792486 968594 1012621 1188729 1452891 1516482 1628999 2025242 2377458 2905782 3037863 3257998 3566187 4358673 4886997 6075726 7132374 8717346 9113589 9773994 11138831 13076019 14660991 17918989 18227178 22277662 26152038 27340767 29321982 33416493 35837978 37466977 39228057 43982973 53756967 54681534 66832986 74933954 78456114 82022301 87965946 100249479 107513934 112400931 131948919 161270901 164044602 200498958 224801862 263897838 300748437 322541802 337202793 412136747 483812703 601496874 674405586 824273494 902245311 967625406 1011608379 1236410241 1451438109 1804490622 2023216758 2472820482 2902876218 3034825137 3709230723 6069650274 7418461446 11127692169 22255384338 33383076507 66766153014