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675552317130 = 233531547914731
BaseRepresentation
bin10011101010010100000…
…11100100111011001010
32101120201101212102121000
421311022003210323022
542032012343122010
61234202222355430
766543546644115
oct11651203447312
92346641772530
10675552317130
11240555742709
12aab1512bb76
134b9204a57c2
14249a845157c
151288cb347c0
hex9d4a0e4eca

675552317130 has 128 divisors (see below), whose sum is σ = 1860050534400. Its totient is φ = 174292430400.

The previous prime is 675552317113. The next prime is 675552317191. The reversal of 675552317130 is 31713255576.

675552317130 is a `hidden beast` number, since 6 + 7 + 55 + 523 + 1 + 71 + 3 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 45851865 + ... + 45866595.

It is an arithmetic number, because the mean of its divisors is an integer number (14531644800).

Almost surely, 2675552317130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675552317130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930025267200).

675552317130 is an abundant number, since it is smaller than the sum of its proper divisors (1184498217270).

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

675552317130 is a wasteful number, since it uses less digits than its factorization.

675552317130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20251 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 675552317130 in words is "six hundred seventy-five billion, five hundred fifty-two million, three hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 5479 8370 10958 14731 16437 27395 29462 32874 44193 49311 54790 73655 82185 88386 98622 132579 147310 147933 164370 169849 220965 246555 265158 295866 339698 397737 441930 456661 493110 509547 662895 739665 795474 849245 913322 1019094 1325790 1369983 1479330 1528641 1698490 1988685 2283305 2547735 2739966 3057282 3977370 4109949 4566610 4585923 5095470 6849915 7643205 8219898 9171846 12329847 13699830 15286410 20549745 22929615 24659694 41099490 45859230 61649235 80711149 123298470 161422298 242133447 403555745 484266894 726400341 807111490 1210667235 1452800682 2179201023 2421334470 2502045619 3632001705 4358402046 5004091238 7264003410 7506136857 10896005115 12510228095 15012273714 21792010230 22518410571 25020456190 37530684285 45036821142 67555231713 75061368570 112592052855 135110463426 225184105710 337776158565 675552317130