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45066155166054 = 233112312232697179
BaseRepresentation
bin10100011111100110010000…
…01010111000100101100110
312220120021121211122202222000
422033303020022320211212
521401330441210303204
6235503034511350130
712330631223326131
oct1217631012704546
9186507554582860
1045066155166054
11133a54a379aa90
12507a158222346
131c1b9493720a9
14b1b2dbd95218
1553241a229039
hex28fcc82b8966

45066155166054 has 128 divisors (see below), whose sum is σ = 114094597939200. Its totient is φ = 13051968003360.

The previous prime is 45066155166041. The next prime is 45066155166091.

45066155166054 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 6 + 15 + 5 + 16 + 605 + 4 = 666.

45066155166054 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15360037 + ... + 18057215.

It is an arithmetic number, because the mean of its divisors is an integer number (891364046400).

Almost surely, 245066155166054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45066155166054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57047298969600).

45066155166054 is an abundant number, since it is smaller than the sum of its proper divisors (69028442773146).

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

45066155166054 is a wasteful number, since it uses less digits than its factorization.

45066155166054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698447 (or 2698441 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 45066155166054 in words is "forty-five trillion, sixty-six billion, one hundred fifty-five million, one hundred sixty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1223 1242 1518 2277 2446 3669 4554 6831 7338 11007 13453 13662 22014 26906 28129 33021 40359 56258 66042 80718 84387 121077 168774 242154 253161 309419 363231 506322 618838 726462 759483 928257 1518966 1856514 2697179 2784771 5394358 5569542 8091537 8354313 16183074 16708626 24274611 29668969 48549222 59337938 62035117 72823833 89006907 124070234 145647666 178013814 186105351 267020721 372210702 534041442 558316053 682386287 801062163 1116632106 1364772574 1602124326 1674948159 2047158861 3298649917 3349896318 4094317722 6141476583 6597299834 9895949751 12282953166 18424429749 19791899502 29687849253 36285149087 36848859498 59375698506 72570298174 75868948091 89063547759 108855447261 151737896182 178127095518 217710894522 227606844273 326566341783 455213688546 653132683566 682820532819 834558429001 979699025349 1365641065638 1669116858002 1959398050698 2048461598457 2503675287003 4096923196914 5007350574006 7511025861009 15022051722018 22533077583027 45066155166054