Search a number
-
+
10661001054 = 23112952110691
BaseRepresentation
bin10011110110111000…
…11111011101011110
31000111222112222002220
421323130133131132
5133313204013204
64521514130210
7525122004504
oct117334373536
930458488086
1010661001054
114580947980
122096420966
13100b923862
14731c68674
15425e2a1d9
hex27b71f75e

10661001054 has 64 divisors (see below), whose sum is σ = 24110887680. Its totient is φ = 3112928000.

The previous prime is 10661000923. The next prime is 10661001089. The reversal of 10661001054 is 45010016601.

It is a super-2 number, since 2×106610010542 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991849 + ... + 1002539.

It is an arithmetic number, because the mean of its divisors is an integer number (376732620).

Almost surely, 210661001054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661001054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055443840).

10661001054 is an abundant number, since it is smaller than the sum of its proper divisors (13449886626).

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

10661001054 is a wasteful number, since it uses less digits than its factorization.

10661001054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10661001054 its reverse (45010016601), we get a palindrome (55671017655).

The spelling of 10661001054 in words is "ten billion, six hundred sixty-one million, one thousand, fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 521 638 957 1042 1563 1914 3126 5731 10691 11462 15109 17193 21382 30218 32073 34386 45327 64146 90654 117601 166199 235202 310039 332398 352803 498597 620078 705606 930117 997194 1860234 3410429 5570011 6820858 10231287 11140022 16710033 20462574 33420066 61270121 122540242 161530319 183810363 323060638 367620726 484590957 969181914 1776833509 3553667018 5330500527 10661001054