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6141614166 = 23231103106859
BaseRepresentation
bin1011011100001000…
…11001100001010110
3120212000112022210100
411232010121201112
5100034223123131
62453232034530
7305123600442
oct55604314126
916760468710
106141614166
112671865696
121234992a46
1376b51ca2c
14423953822
1525e2ac7e6
hex16e119856

6141614166 has 48 divisors (see below), whose sum is σ = 13869573120. Its totient is φ = 1961912880.

The previous prime is 6141614137. The next prime is 6141614177. The reversal of 6141614166 is 6614161416.

6141614166 is a `hidden beast` number, since 614 + 16 + 14 + 16 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6141614166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4045 + ... + 110903.

It is an arithmetic number, because the mean of its divisors is an integer number (288949440).

Almost surely, 26141614166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141614166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934786560).

6141614166 is an abundant number, since it is smaller than the sum of its proper divisors (7727958954).

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

6141614166 is a wasteful number, since it uses less digits than its factorization.

6141614166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107001 (or 106998 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6141614166 is about 78368.4513436370. The cubic root of 6141614166 is about 1831.3056828988.

The spelling of 6141614166 in words is "six billion, one hundred forty-one million, six hundred fourteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 1854 3193 6386 9579 19158 28737 57474 106859 213718 320577 641154 961731 1923462 3312629 6625258 9937887 11006477 19875774 22012954 29813661 33019431 59627322 66038862 99058293 198116586 341200787 682401574 1023602361 2047204722 3070807083 6141614166