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10415208096 = 25344319323
BaseRepresentation
bin10011011001100101…
…10111011010100000
3222212212001101120000
421230302313122200
5132312243124341
64441254020000
7516045544116
oct115462673240
928785041500
1010415208096
114465127aa7
122028047600
13c9ca25037
1470b365ab6
1540e5778b6
hex26ccb76a0

10415208096 has 120 divisors (see below), whose sum is σ = 30705200064. Its totient is φ = 3463309440.

The previous prime is 10415208091. The next prime is 10415208113. The reversal of 10415208096 is 69080251401.

10415208096 is a `hidden beast` number, since 1 + 0 + 41 + 520 + 8 + 0 + 96 = 666.

10415208096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10415208096.

It is not an unprimeable number, because it can be changed into a prime (10415208091) 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 19 ways as a sum of consecutive naturals, for example, 1112491 + ... + 1121813.

Almost surely, 210415208096 is an apocalyptic number.

10415208096 is a gapful number since it is divisible by the number (16) 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 10415208096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352600032).

10415208096 is an abundant number, since it is smaller than the sum of its proper divisors (20289991968).

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

10415208096 is an equidigital number, since it uses as much as digits as its factorization.

10415208096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 10415208096 its reverse (69080251401), we get a palindrome (79495459497).

The spelling of 10415208096 in words is "ten billion, four hundred fifteen million, two hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 431 432 648 862 864 1293 1296 1724 2586 2592 3448 3879 5172 6896 7758 9323 10344 11637 13792 15516 18646 20688 23274 27969 31032 34911 37292 41376 46548 55938 62064 69822 74584 83907 93096 111876 124128 139644 149168 167814 186192 223752 251721 279288 298336 335628 372384 447504 503442 558576 671256 755163 895008 1006884 1117152 1342512 1510326 2013768 2685024 3020652 4018213 4027536 6041304 8036426 8055072 12054639 12082608 16072852 24109278 24165216 32145704 36163917 48218556 64291408 72327834 96437112 108491751 128582816 144655668 192874224 216983502 289311336 325475253 385748448 433967004 578622672 650950506 867934008 1157245344 1301901012 1735868016 2603802024 3471736032 5207604048 10415208096