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188925082159616 = 2911298313936409
BaseRepresentation
bin101010111101001110001100…
…011010010100101000000000
3220202221001122210211202121222
4222331032030122110220000
5144230322032013101431
61505450552400334212
754536246441023355
oct5275161432245000
9822831583752558
10188925082159616
115521974a681080
1219232b43914368
1381557358c9c7a
14349204668062c
1516c959569b57b
hexabd38c694a00

188925082159616 has 160 divisors (see below), whose sum is σ = 431130090283200. Its totient is φ = 81914861486080.

The previous prime is 188925082159579. The next prime is 188925082159669. The reversal of 188925082159616 is 616951280529881.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 188925082159616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6588020 + ... + 20524428.

It is an arithmetic number, because the mean of its divisors is an integer number (2694563064270).

Almost surely, 2188925082159616 is an apocalyptic number.

188925082159616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188925082159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215565045141600).

188925082159616 is an abundant number, since it is smaller than the sum of its proper divisors (242205008123584).

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

188925082159616 is a wasteful number, since it uses less digits than its factorization.

188925082159616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936550 (or 13936534 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 71.

The spelling of 188925082159616 in words is "one hundred eighty-eight trillion, nine hundred twenty-five billion, eighty-two million, one hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 83 88 116 128 166 176 232 256 319 332 352 464 512 638 664 704 913 928 1276 1328 1408 1826 1856 2407 2552 2656 2816 3652 3712 4814 5104 5312 5632 7304 7424 9628 10208 10624 14608 14848 19256 20416 21248 26477 29216 38512 40832 42496 52954 58432 77024 81664 105908 116864 154048 163328 211816 233728 308096 423632 467456 616192 847264 1232384 1694528 3389056 6778112 13556224 13936409 27872818 55745636 111491272 153300499 222982544 306600998 404155861 445965088 613201996 808311722 891930176 1156721947 1226403992 1616623444 1783860352 2313443894 2452807984 3233246888 3567720704 4445714471 4626887788 4905615968 6466493776 7135441408 8891428942 9253775576 9811231936 12723941417 12932987552 17782857884 18507551152 19622463872 25447882834 25865975104 33544936463 35565715768 37015102304 39244927744 50895765668 51731950208 67089872926 71131431536 74030204608 78489855488 101791531336 103463900416 134179745852 142262863072 148060409216 203583062672 206927800832 268359491704 284525726144 296120818432 368994301093 407166125344 536718983408 569051452288 592241636864 737988602186 814332250688 1073437966816 1138102904576 1475977204372 1628664501376 2146875933632 2276205809152 2951954408744 3257329002752 4293751867264 5903908817488 6514658005504 8587503734528 11807817634976 17175007469056 23615635269952 47231270539904 94462541079808 188925082159616