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10662445664 = 251375134129
BaseRepresentation
bin10011110111000100…
…00000001001100000
31000112002021100201222
421323202000021200
5133314041230124
64522005114212
7525140202263
oct117342001140
930462240658
1010662445664
114581744272
1220969b8968
13100c00b260
14732122cda
1542611325e
hex27b880260

10662445664 has 48 divisors (see below), whose sum is σ = 22637200320. Its totient is φ = 4914432000.

The previous prime is 10662445663. The next prime is 10662445697. The reversal of 10662445664 is 46654426601.

It is a super-2 number, since 2×106624456642 (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 (10662445663) 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, 295352 + ... + 329480.

It is an arithmetic number, because the mean of its divisors is an integer number (471608340).

Almost surely, 210662445664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318600160).

10662445664 is an abundant number, since it is smaller than the sum of its proper divisors (11974754656).

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

10662445664 is a wasteful number, since it uses less digits than its factorization.

10662445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34903 (or 34895 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 10662445664 in words is "ten billion, six hundred sixty-two million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 751 1502 3004 6008 9763 12016 19526 24032 34129 39052 68258 78104 136516 156208 273032 312416 443677 546064 887354 1092128 1774708 3549416 7098832 14197664 25630879 51261758 102523516 205047032 333201427 410094064 666402854 820188128 1332805708 2665611416 5331222832 10662445664