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38805660008896 = 2611271753726987
BaseRepresentation
bin10001101001011001001011…
…00101001000000111000000
312002101210012011112010220011
420310230211211020013000
520041242442430241041
6214311024001154304
711113421300446234
oct1064544545100700
9162353164463804
1038805660008896
111140142a460490
12442896902b994
1318864867b8261
149822bd97a5c4
15474656daae81
hex234b259481c0

38805660008896 has 112 divisors (see below), whose sum is σ = 84329729183232. Its totient is φ = 17570865254400.

The previous prime is 38805660008891. The next prime is 38805660008903. The reversal of 38805660008896 is 69880006650883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38805660008891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437925515 + ... + 1437952501.

Almost surely, 238805660008896 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 38805660008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42164864591616).

38805660008896 is an abundant number, since it is smaller than the sum of its proper divisors (45524069174336).

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

38805660008896 is a wasteful number, since it uses less digits than its factorization.

38805660008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34818 (or 34808 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 67.

The spelling of 38805660008896 in words is "thirty-eight trillion, eight hundred five billion, six hundred sixty million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 271 352 542 704 1084 2168 2981 4336 5962 7537 8672 11924 15074 17344 23848 26987 30148 47696 53974 60296 82907 95392 107948 120592 165814 190784 215896 241184 296857 331628 431792 482368 593714 663256 863584 1187428 1326512 1727168 2042527 2374856 2653024 4085054 4749712 5306048 7313477 8170108 9499424 14626954 16340216 18998848 22467797 29253908 32680432 44935594 58507816 65360864 80448247 89871188 117015632 130721728 160896494 179742376 203401019 234031264 321792988 359484752 406802038 468062528 643585976 718969504 813604076 1287171952 1437939008 1627208152 2237411209 2574343904 3254416304 4474822418 5148687808 6508832608 8949644836 13017665216 17899289672 35798579344 55121676149 71597158688 110243352298 143194317376 220486704596 440973409192 606338437639 881946818384 1212676875278 1763893636768 2425353750556 3527787273536 4850707501112 9701415002224 19402830004448 38805660008896