Search a number
-
+
10386135840 = 253531697993
BaseRepresentation
bin10011010110000111…
…11101101100100000
3222210211100100220210
421223003331230200
5132232322321330
64434334534120
7515243461263
oct115303755440
928724310823
1010386135840
11444a780643
12201a367340
13c969b6412
14707558cda
1540bc338b0
hex26b0fdb20

10386135840 has 96 divisors (see below), whose sum is σ = 33771741696. Its totient is φ = 2680289280.

The previous prime is 10386135833. The next prime is 10386135847. The reversal of 10386135840 is 4853168301.

10386135840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10386135833) and next prime (10386135847).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10386135847) 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, 334117 + ... + 363876.

It is an arithmetic number, because the mean of its divisors is an integer number (351788976).

Almost surely, 210386135840 is an apocalyptic number.

10386135840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10386135840 is an abundant number, since it is smaller than the sum of its proper divisors (23385605856).

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

10386135840 is a wasteful number, since it uses less digits than its factorization.

10386135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698042 (or 698034 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10386135840 in words is "ten billion, three hundred eighty-six million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 697993 1395986 2093979 2791972 3489965 4187958 5583944 6979930 8375916 10469895 11167888 13959860 16751832 20939790 21637783 22335776 27919720 33503664 41879580 43275566 55839440 64913349 67007328 83759160 86551132 108188915 111678880 129826698 167518320 173102264 216377830 259653396 324566745 335036640 346204528 432755660 519306792 649133490 692409056 865511320 1038613584 1298266980 1731022640 2077227168 2596533960 3462045280 5193067920 10386135840