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10605660324 = 223717611091117
BaseRepresentation
bin10011110000010010…
…11000100010100100
31000101010102100220020
421320021120202210
5133210022112244
64512220035140
7523550424330
oct117011304244
930333370806
1010605660324
114552689636
12207b992ab0
13100031856c
147287807c0
15421147d19
hex2782588a4

10605660324 has 192 divisors, whose sum is σ = 30743032320. Its totient is φ = 2776965120.

The previous prime is 10605660253. The next prime is 10605660337. The reversal of 10605660324 is 42306650601.

It is a super-2 number, since 2×106056603242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9494214 + ... + 9495330.

It is an arithmetic number, because the mean of its divisors is an integer number (160119960).

Almost surely, 210605660324 is an apocalyptic number.

10605660324 is a gapful number since it is divisible by the number (14) 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 10605660324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371516160).

10605660324 is an abundant number, since it is smaller than the sum of its proper divisors (20137371996).

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

10605660324 is a wasteful number, since it uses less digits than its factorization.

10605660324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 10605660324 in words is "ten billion, six hundred five million, six hundred sixty thousand, three hundred twenty-four".