Search a number
-
+
10520405504 = 2976148121
BaseRepresentation
bin10011100110001000…
…01010011000000000
31000011011222222021022
421303010022120000
5133021210434004
64455532445012
7521463654110
oct116304123000
930134888238
1010520405504
114509549404
122057319768
13cb876841b
1471b30b040
154189072be
hex27310a600

10520405504 has 80 divisors (see below), whose sum is σ = 24417487776. Its totient is φ = 4434739200.

The previous prime is 10520405503. The next prime is 10520405543. The reversal of 10520405504 is 40550402501.

It is a super-2 number, since 2×105204055042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520405503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194564 + ... + 242684.

Almost surely, 210520405504 is an apocalyptic number.

10520405504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10520405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208743888).

10520405504 is an abundant number, since it is smaller than the sum of its proper divisors (13897082272).

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

10520405504 is an frugal number, since it uses more digits than its factorization.

10520405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48207 (or 48191 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 10520405504 in words is "ten billion, five hundred twenty million, four hundred five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 854 896 976 1708 1792 1952 3416 3584 3904 6832 7808 13664 15616 27328 31232 48121 54656 96242 109312 192484 218624 336847 384968 673694 769936 1347388 1539872 2694776 2935381 3079744 5389552 5870762 6159488 10779104 11741524 12318976 20547667 21558208 23483048 24637952 41095334 43116416 46966096 82190668 86232832 93932192 164381336 172465664 187864384 328762672 375728768 657525344 751457536 1315050688 1502915072 2630101376 5260202752 10520405504