Search a number
-
+
10368437912 = 237536157269
BaseRepresentation
bin10011010100000000…
…11100111010011000
3222202121001012220222
421222000130322120
5132213310003122
64432503335212
7514640160650
oct115200347230
928677035828
1010368437912
114440792958
122014451508
13c9312aa81
1470506d360
1540a3d9b42
hex26a01ce98

10368437912 has 64 divisors (see below), whose sum is σ = 23008795200. Its totient is φ = 4288227840.

The previous prime is 10368437903. The next prime is 10368437917. The reversal of 10368437912 is 21973486301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10368437917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152414 + ... + 209682.

It is an arithmetic number, because the mean of its divisors is an integer number (359512425).

Almost surely, 210368437912 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 10368437912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504397600).

10368437912 is an abundant number, since it is smaller than the sum of its proper divisors (12640357288).

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

10368437912 is a wasteful number, since it uses less digits than its factorization.

10368437912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57396 (or 57392 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10368437912 in words is "ten billion, three hundred sixty-eight million, four hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 28 53 56 61 106 122 212 244 371 424 427 488 742 854 1484 1708 2968 3233 3416 6466 12932 22631 25864 45262 57269 90524 114538 181048 229076 400883 458152 801766 1603532 3035257 3207064 3493409 6070514 6986818 12141028 13973636 21246799 24282056 24453863 27947272 42493598 48907726 84987196 97815452 169974392 185150677 195630904 370301354 740602708 1296054739 1481205416 2592109478 5184218956 10368437912