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10213404256 = 251149958147
BaseRepresentation
bin10011000001100010…
…00010111001100000
3222100210022200201201
421200301002321200
5131404112414011
64405244410544
7511045334536
oct114061027140
928323280651
1010213404256
114371222870
121b90546a54
13c69c88993
146cc634156
153eb9b3cc1
hex260c42e60

10213404256 has 48 divisors (see below), whose sum is σ = 21979944000. Its totient is φ = 4633073280.

The previous prime is 10213404199. The next prime is 10213404259. The reversal of 10213404256 is 65240431201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213404259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146575 + ... + 204721.

It is an arithmetic number, because the mean of its divisors is an integer number (457915500).

Almost surely, 210213404256 is an apocalyptic number.

10213404256 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 10213404256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989972000).

10213404256 is an abundant number, since it is smaller than the sum of its proper divisors (11766539744).

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

10213404256 is a wasteful number, since it uses less digits than its factorization.

10213404256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58667 (or 58659 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10213404256 its reverse (65240431201), we get a palindrome (75453835457).

The spelling of 10213404256 in words is "ten billion, two hundred thirteen million, four hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 499 998 1996 3992 5489 7984 10978 15968 21956 43912 58147 87824 116294 175648 232588 465176 639617 930352 1279234 1860704 2558468 5116936 10233872 20467744 29015353 58030706 116061412 232122824 319168883 464245648 638337766 928491296 1276675532 2553351064 5106702128 10213404256