Search a number
-
+
10386041904 = 2432729355297
BaseRepresentation
bin10011010110000111…
…00110110000110000
3222210211011121001200
421223003212300300
5132232311320104
64434332531200
7515242620360
oct115303466060
928724147050
1010386041904
11444a717007
12201a320b00
13c96982734
147075329a0
1540bc15b39
hex26b0e6c30

10386041904 has 120 divisors (see below), whose sum is σ = 34364422560. Its totient is φ = 2865106944.

The previous prime is 10386041891. The next prime is 10386041921. The reversal of 10386041904 is 40914068301.

10386041904 is a `hidden beast` number, since 1 + 0 + 38 + 604 + 19 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148417 + ... + 206880.

It is an arithmetic number, because the mean of its divisors is an integer number (286370188).

Almost surely, 210386041904 is an apocalyptic number.

10386041904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10386041904 is an abundant number, since it is smaller than the sum of its proper divisors (23978380656).

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

10386041904 is a wasteful number, since it uses less digits than its factorization.

10386041904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355347 (or 355338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10386041904 in words is "ten billion, three hundred eighty-six million, forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 355297 710594 1065891 1421188 2131782 2487079 2842376 3197673 4263564 4974158 5684752 6395346 7461237 8527128 9948316 10303613 12790692 14922474 17054256 19896632 20607226 22383711 25581384 29844948 30910839 39793264 41214452 44767422 51162768 59689896 61821678 72125291 82428904 89534844 92732517 119379792 123643356 144250582 164857808 179069688 185465034 216375873 247286712 288501164 358139376 370930068 432751746 494573424 577002328 649127619 741860136 865503492 1154004656 1298255238 1483720272 1731006984 2596510476 3462013968 5193020952 10386041904