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16431160974924 = 22329312103477011
BaseRepresentation
bin1110111100011010110110…
…0000110101111001001100
32011011210200212012201021210
43233012231200311321030
54123202004202144144
654540212100054420
73314053325566053
oct357065540657114
964153625181253
1016431160974924
115265464013503
121a14576694410
139225b489b047
1440b3b57bb39a
151d762b2caab9
hexef1ad835e4c

16431160974924 has 144 divisors (see below), whose sum is σ = 41380065941760. Its totient is φ = 5067906883200.

The previous prime is 16431160974889. The next prime is 16431160974947. The reversal of 16431160974924 is 42947906113461.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34207579 + ... + 34684589.

It is an arithmetic number, because the mean of its divisors is an integer number (287361569040).

Almost surely, 216431160974924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16431160974924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690032970880).

16431160974924 is an abundant number, since it is smaller than the sum of its proper divisors (24948904966836).

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

16431160974924 is a wasteful number, since it uses less digits than its factorization.

16431160974924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477212 (or 477179 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 16431160974924 in words is "sixteen trillion, four hundred thirty-one billion, one hundred sixty million, nine hundred seventy-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 103 116 124 174 186 206 309 348 372 412 618 899 961 1236 1798 1922 2697 2883 2987 3193 3596 3844 5394 5766 5974 6386 8961 9579 10788 11532 11948 12772 17922 19158 27869 35844 38316 55738 83607 92597 98983 111476 167214 185194 197966 277791 296949 334428 370388 395932 477011 555582 593898 954022 1111164 1187796 1431033 1908044 2862066 2870507 5724132 5741014 8611521 11482028 13833319 14787341 17223042 27666638 29574682 34446084 41499957 44362023 49132133 55333276 59149364 82999914 88724046 98264266 147396399 165999828 177448092 196528532 294792798 428832889 458407571 589585596 857665778 916815142 1286498667 1375222713 1424831857 1523096123 1715331556 1833630284 2572997334 2750445426 2849663714 3046192246 4274495571 4569288369 5145994668 5500890852 5699327428 6092384492 8548991142 9138576738 13293819559 17097982284 18277153476 26587639118 39881458677 44169787567 47215979813 53175278236 79762917354 88339575134 94431959626 132509362701 141647939439 159525834708 176679150268 188863919252 265018725402 283295878878 530037450804 566591757756 1369263414577 2738526829154 4107790243731 5477053658308 8215580487462 16431160974924