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38362316820816 = 24367103131884057
BaseRepresentation
bin10001011100011111011000…
…10001000101000101010000
312000211101211211002200112010
420232033230101011011100
520012012011101231231
6213331223254102520
711036404654515342
oct1056175421050520
9160741754080463
1038362316820816
111125040481839a
124376a5a34aa40
1318537215a3681
14968a631cb292
15467d5a246546
hex22e3ec445150

38362316820816 has 160 divisors (see below), whose sum is σ = 102333688224768. Its totient is φ = 12379047183360.

The previous prime is 38362316820791. The next prime is 38362316820829. The reversal of 38362316820816 is 61802861326383.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 42951460 + ... + 43835516.

Almost surely, 238362316820816 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 38362316820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166844112384).

38362316820816 is an abundant number, since it is smaller than the sum of its proper divisors (63971371403952).

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

38362316820816 is a wasteful number, since it uses less digits than its factorization.

38362316820816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884369 (or 884363 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 38362316820816 in words is "thirty-eight trillion, three hundred sixty-two billion, three hundred sixteen million, eight hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 103 131 134 201 206 262 268 309 393 402 412 524 536 618 786 804 824 1048 1072 1236 1572 1608 1648 2096 2472 3144 3216 4944 6288 6901 8777 13493 13802 17554 20703 26331 26986 27604 35108 40479 41406 52662 53972 55208 70216 80958 82812 105324 107944 110416 140432 161916 165624 210648 215888 323832 331248 421296 647664 884057 904031 1768114 1808062 2652171 2712093 3536228 3616124 5304342 5424186 7072456 7232248 10608684 10848372 14144912 14464496 21217368 21696744 42434736 43393488 59231819 91057871 115811467 118463638 177695457 182115742 231622934 236927276 273173613 347434401 355390914 364231484 463245868 473854552 546347226 694868802 710781828 728462968 926491736 947709104 1092694452 1389737604 1421563656 1456925936 1852983472 2185388904 2779475208 2843127312 4370777808 5558950416 6100877357 7759368289 11928581101 12201754714 15518736578 18302632071 23278104867 23857162202 24403509428 31037473156 35785743303 36605264142 46556209734 47714324404 48807018856 62074946312 71571486606 73210528284 93112419468 95428648808 97614037712 124149892624 143142973212 146421056568 186224838936 190857297616 286285946424 292842113136 372449677872 572571892848 799214933767 1598429867534 2397644801301 3196859735068 4795289602602 6393719470136 9590579205204 12787438940272 19181158410408 38362316820816