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10642061166 = 23111741922637
BaseRepresentation
bin10011110100101000…
…01111011101101110
31000110122220201110120
421322110033131232
5133243331424131
64520000145410
7524502012252
oct117224173556
930418821416
1010642061166
114571191080
122090008266
131007a21b19
1472d538262
15424438496
hex27a50f76e

10642061166 has 64 divisors (see below), whose sum is σ = 24644632320. Its totient is φ = 3027791360.

The previous prime is 10642061123. The next prime is 10642061167. The reversal of 10642061166 is 66116024601.

It is a happy number.

It is a super-2 number, since 2×106420611662 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642061167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458800 + ... + 481436.

It is an arithmetic number, because the mean of its divisors is an integer number (385072380).

Almost surely, 210642061166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642061166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12322316160).

10642061166 is an abundant number, since it is smaller than the sum of its proper divisors (14002571154).

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

10642061166 is a wasteful number, since it uses less digits than its factorization.

10642061166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23089.

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 10642061166 its reverse (66116024601), we get a palindrome (76758085767).

The spelling of 10642061166 in words is "ten billion, six hundred forty-two million, sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 419 561 838 1122 1257 2514 4609 7123 9218 13827 14246 21369 22637 27654 42738 45274 67911 78353 135822 156706 235059 249007 384829 470118 498014 747021 769658 1154487 1494042 2308974 4233119 8466238 9484903 12699357 18969806 25398714 28454709 56909418 104333933 161243351 208667866 313001799 322486702 483730053 626003598 967460106 1773676861 3547353722 5321030583 10642061166