Search a number
-
+
10644766461 = 3271719934987
BaseRepresentation
bin10011110100111101…
…00011111011111101
31000110212000011102200
421322132203323331
5133300030011321
64520134142113
7524534010360
oct117236437375
930425004380
1010644766461
11457276965a
122090ab1939
13100845b2a4
1472da400d7
154247bed26
hex27a7a3efd

10644766461 has 48 divisors (see below), whose sum is σ = 18619046784. Its totient is φ = 5720896512.

The previous prime is 10644766439. The next prime is 10644766481. The reversal of 10644766461 is 16466744601.

10644766461 is a `hidden beast` number, since 1 + 0 + 64 + 476 + 64 + 61 = 666.

It is not a de Polignac number, because 10644766461 - 211 = 10644764413 is a prime.

It is a super-2 number, since 2×106447664612 (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 (10644766481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2132010 + ... + 2136996.

It is an arithmetic number, because the mean of its divisors is an integer number (387896808).

Almost surely, 210644766461 is an apocalyptic number.

It is an amenable number.

10644766461 is a deficient number, since it is larger than the sum of its proper divisors (7974280323).

10644766461 is a wasteful number, since it uses less digits than its factorization.

10644766461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10644766461 in words is "ten billion, six hundred forty-four million, seven hundred sixty-six thousand, four hundred sixty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1993 4987 5979 13951 14961 17937 33881 34909 41853 44883 84779 101643 104727 125559 237167 254337 304929 314181 593453 711501 763011 1780359 2134503 5341077 9939091 29817273 69573637 89451819 168964547 208720911 506893641 626162733 1182751829 1520680923 3548255487 10644766461