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109695333390916 = 227413282212
BaseRepresentation
bin11000111100010001101111…
…011000010101101001000100
3112101101202211101120110011111
4120330101233120111221010
5103334222020322002131
61025145201313014404
732051140423210000
oct3074215730255104
9471352741513144
10109695333390916
1131a52590a47479
1210377835254404
1349292c1703300
141d133d5123700
15ca3662504ab1
hex63c46f615a44

109695333390916 has 135 divisors (see below), whose sum is σ = 242529385082103. Its totient is φ = 43390677395520.

The previous prime is 109695333390869. The next prime is 109695333390943. The reversal of 109695333390916 is 619093333596901.

The square root of 109695333390916 is 10473554.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2500288312900 + 107195045078016 = 1581230^2 + 10353504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13343303686 + ... + 13343311906.

Almost surely, 2109695333390916 is an apocalyptic number.

109695333390916 is the 10473554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109695333390916

109695333390916 is an abundant number, since it is smaller than the sum of its proper divisors (132834051691187).

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

109695333390916 is an frugal number, since it uses more digits than its factorization.

109695333390916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16500 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 95659380, while the sum is 67.

The spelling of 109695333390916 in words is "one hundred nine trillion, six hundred ninety-five billion, three hundred thirty-three million, three hundred ninety thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1183 1274 1372 2366 2401 2548 4459 4732 4802 8221 8281 8918 9604 16442 16562 17836 31213 32884 33124 57547 57967 62426 106873 115094 115934 124852 213746 230188 231868 402829 405769 427492 748111 805658 811538 1389349 1496222 1611316 1623076 2778698 2819803 2992444 5236777 5557396 5639606 9725443 10473554 11279212 19450886 19738621 20947108 36657439 38901772 39477242 67584841 68078101 73314878 78954484 135169682 136156202 146629756 256602073 270339364 272312404 473093887 476546707 513204146 878602933 946187774 953093414 1026408292 1757205866 1892375548 1906186828 3311657209 3335826949 3514411732 6150220531 6623314418 6671653898 11421838129 12300441062 13246628836 13343307796 22843676258 23181600463 24600882124 43051543717 45687352516 46363200926 79952866903 86103087434 92726401852 159905733806 162271203241 172206174868 301360806019 319811467612 324542406482 559670068321 602721612038 649084812964 1119340136642 1205443224076 2109525642133 2238680273284 3917690478247 4219051284266 7835380956494 8438102568532 15670761912988 27423833347729 54847666695458 109695333390916