Search a number
-
+
38816889853940 = 22511197985790863
BaseRepresentation
bin10001101001101110000101…
…11011100101011111110100
312002102212011210110101020222
420310313002323211133310
520041433442300311230
6214320122155513512
711114266500531242
oct1064670273453764
9162385153411228
1038816889853940
1111406172406260
12442ab81a58898
131887556219493
14982a6719b792
15474ab2bec6e5
hex234dc2ee57f4

38816889853940 has 96 divisors (see below), whose sum is σ = 89387417839104. Its totient is φ = 14042002472960.

The previous prime is 38816889853927. The next prime is 38816889853961. The reversal of 38816889853940 is 4935898861883.

It is a super-2 number, since 2×388168898539402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427156949 + ... + 427247811.

It is an arithmetic number, because the mean of its divisors is an integer number (931118935824).

Almost surely, 238816889853940 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 38816889853940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693708919552).

38816889853940 is an abundant number, since it is smaller than the sum of its proper divisors (50570527985164).

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

38816889853940 is a wasteful number, since it uses less digits than its factorization.

38816889853940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100937 (or 100935 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 80.

The spelling of 38816889853940 in words is "thirty-eight trillion, eight hundred sixteen billion, eight hundred eighty-nine million, eight hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 9857 10835 19714 21670 39428 43340 49285 90863 98570 108427 181726 197140 216854 363452 433708 454315 542135 908630 999493 1084270 1817260 1941829 1998986 2168540 3883658 3997972 4997465 7767316 9709145 9994930 17900011 19418290 19989860 21360119 35800022 38836580 42720238 71600044 85440476 89500055 106800595 179000110 196900121 213601190 358000220 393800242 427202380 787600484 895636591 984500605 1791273182 1969001210 3582546364 3938002420 4478182955 8956365910 9852002501 17912731820 19704005002 39408010004 49260012505 98520025010 176440408427 197040050020 352880816854 705761633708 882202042135 1764404084270 1940844492697 3528808168540 3881688985394 7763377970788 9704222463485 19408444926970 38816889853940