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10011367136 = 252313997859
BaseRepresentation
bin10010101001011100…
…10101011011100000
3221211201011010220102
421110232111123200
5131000402222021
64333230201532
7503043134201
oct112456253340
927751133812
1010011367136
114278179341
121b349532a8
13c3716a3a4
146ad8815a8
153d8da600b
hex254b956e0

10011367136 has 48 divisors (see below), whose sum is σ = 20715004800. Its totient is φ = 4753550208.

The previous prime is 10011367111. The next prime is 10011367169. The reversal of 10011367136 is 63176311001.

It is a junction number, because it is equal to n+sod(n) for n = 10011367099 and 10011367108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53375 + ... + 151233.

It is an arithmetic number, because the mean of its divisors is an integer number (431562600).

Almost surely, 210011367136 is an apocalyptic number.

10011367136 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 10011367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357502400).

10011367136 is an abundant number, since it is smaller than the sum of its proper divisors (10703637664).

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

10011367136 is a wasteful number, since it uses less digits than its factorization.

10011367136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98031 (or 98023 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 10011367136 its reverse (63176311001), we get a palindrome (73187678137).

The spelling of 10011367136 in words is "ten billion, eleven million, three hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 92 139 184 278 368 556 736 1112 2224 3197 4448 6394 12788 25576 51152 97859 102304 195718 391436 782872 1565744 2250757 3131488 4501514 9003028 13602401 18006056 27204802 36012112 54409604 72024224 108819208 217638416 312855223 435276832 625710446 1251420892 2502841784 5005683568 10011367136