Search a number
-
+
10488539520 = 273251820927
BaseRepresentation
bin10011100010010101…
…00110100110000000
31000001222001000100200
421301022212212000
5132440031231040
64452433445200
7520626054264
oct116112464600
930058030320
1010488539520
1144a2563a88
122048710800
13cb1c8c004
14716db40a4
15415c10630
hex2712a6980

10488539520 has 96 divisors (see below), whose sum is σ = 36218257920. Its totient is φ = 2796942336.

The previous prime is 10488539447. The next prime is 10488539527. The reversal of 10488539520 is 2593588401.

10488539520 is a `hidden beast` number, since 1 + 0 + 48 + 85 + 3 + 9 + 520 = 666.

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

It is a super-2 number, since 2×104885395202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488539527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904704 + ... + 916223.

It is an arithmetic number, because the mean of its divisors is an integer number (377273520).

Almost surely, 210488539520 is an apocalyptic number.

10488539520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10488539520 is an abundant number, since it is smaller than the sum of its proper divisors (25729718400).

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

10488539520 is a wasteful number, since it uses less digits than its factorization.

10488539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820952 (or 1820937 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10488539520 in words is "ten billion, four hundred eighty-eight million, five hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 1820927 3641854 5462781 7283708 9104635 10925562 14567416 16388343 18209270 21851124 27313905 29134832 32776686 36418540 43702248 54627810 58269664 65553372 72837080 81941715 87404496 109255620 116539328 131106744 145674160 163883430 174808992 218511240 233078656 262213488 291348320 327766860 349617984 437022480 524426976 582696640 655533720 699235968 874044960 1048853952 1165393280 1311067440 1748089920 2097707904 2622134880 3496179840 5244269760 10488539520