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327366012090 = 2351319187723537
BaseRepresentation
bin1001100001110001000…
…10001110110010111010
31011021222200220110222110
410300320202032302322
520330421144341330
6410220113433150
732436302122215
oct4607042166272
91137880813873
10327366012090
11116920641217
125354226b7b6
1324b415b0880
1411bb781c77c
1587aee41db0
hex4c3888ecba

327366012090 has 128 divisors (see below), whose sum is σ = 891159978240. Its totient is φ = 76297310208.

The previous prime is 327366012089. The next prime is 327366012101. The reversal of 327366012090 is 90210663723.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 13896802 + ... + 13920338.

It is an arithmetic number, because the mean of its divisors is an integer number (6962187330).

Almost surely, 2327366012090 is an apocalyptic number.

327366012090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 327366012090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445579989120).

327366012090 is an abundant number, since it is smaller than the sum of its proper divisors (563793966150).

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

327366012090 is a wasteful number, since it uses less digits than its factorization.

327366012090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25456.

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 327366012090 in words is "three hundred twenty-seven billion, three hundred sixty-six million, twelve thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1877 2470 3705 3754 5631 7410 9385 11262 18770 23537 24401 28155 35663 47074 48802 56310 70611 71326 73203 106989 117685 122005 141222 146406 178315 213978 235370 244010 305981 353055 356630 366015 447203 463619 534945 611962 706110 732030 894406 917943 927238 1069890 1341609 1390857 1529905 1835886 2236015 2318095 2683218 2781714 3059810 4472030 4589715 4636190 5813639 6708045 6954285 9179430 11627278 13416090 13908570 17440917 29068195 34881834 44178949 58136390 87204585 88357898 132536847 174409170 220894745 265073694 441789490 574326337 662684235 839400031 1148652674 1325368470 1678800062 1722979011 2518200093 2871631685 3445958022 4197000155 5036400186 5743263370 8394000310 8614895055 10912200403 12591000465 17229790110 21824400806 25182000930 32736601209 54561002015 65473202418 109122004030 163683006045 327366012090