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10662444012 = 2231131514421
BaseRepresentation
bin10011110111000011…
…11111101111101100
31000112002021021110210
421323201333233230
5133314041202022
64522005102420
7525140164413
oct117341775754
930462237423
1010662444012
114581743000
1220969b7a10
13100c00a58c
1473212247a
15426112a0c
hex27b87fbec

10662444012 has 96 divisors (see below), whose sum is σ = 27552526848. Its totient is φ = 3208920000.

The previous prime is 10662444011. The next prime is 10662444019. The reversal of 10662444012 is 21044426601.

It is a happy number.

It is a super-2 number, since 2×106624440122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10662444011) 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 31 ways as a sum of consecutive naturals, for example, 2409562 + ... + 2413982.

It is an arithmetic number, because the mean of its divisors is an integer number (287005488).

Almost surely, 210662444012 is an apocalyptic number.

10662444012 is a gapful number since it is divisible by the number (12) 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 10662444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776263424).

10662444012 is an abundant number, since it is smaller than the sum of its proper divisors (16890082836).

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

10662444012 is a wasteful number, since it uses less digits than its factorization.

10662444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10662444012 in words is "ten billion, six hundred sixty-two million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 151 242 302 363 453 484 604 726 906 1331 1452 1661 1812 2662 3322 3993 4421 4983 5324 6644 7986 8842 9966 13263 15972 17684 18271 19932 26526 36542 48631 53052 54813 73084 97262 109626 145893 194524 200981 219252 291786 401962 534941 583572 602943 667571 803924 1069882 1205886 1335142 1604823 2002713 2139764 2411772 2670284 3209646 4005426 5884351 6419292 7343281 8010852 11768702 14686562 17653053 22029843 23537404 29373124 35306106 44059686 70612212 80776091 88119372 161552182 242328273 323104364 484656546 888537001 969313092 1777074002 2665611003 3554148004 5331222006 10662444012