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6493461156 = 223271347181233
BaseRepresentation
bin1100000110000101…
…00101101010100100
3121202112121000010100
412003002211222210
5101244311224111
62552201224100
7316625336430
oct60302455244
917675530110
106493461156
112832431526
121312792030
137c63a1810
144585819c0
1528010d756
hex1830a5aa4

6493461156 has 288 divisors, whose sum is σ = 20834731008. Its totient is φ = 1659709440.

The previous prime is 6493461133. The next prime is 6493461173. The reversal of 6493461156 is 6511643946.

6493461156 is a `hidden beast` number, since 6 + 493 + 4 + 6 + 1 + 156 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (466560) is a multiple of the sum of its prime divisors (486).

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 95 ways as a sum of consecutive naturals, for example, 27868816 + ... + 27869048.

It is an arithmetic number, because the mean of its divisors is an integer number (72342816).

Almost surely, 26493461156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6493461156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417365504).

6493461156 is an abundant number, since it is smaller than the sum of its proper divisors (14341269852).

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

6493461156 is a wasteful number, since it uses less digits than its factorization.

6493461156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 6493461156 is about 80582.0150902172. The cubic root of 6493461156 is about 1865.6295656698.

The spelling of 6493461156 in words is "six billion, four hundred ninety-three million, four hundred sixty-one thousand, one hundred fifty-six".