Search a number
-
+
1146551616 = 26327319173
BaseRepresentation
bin100010001010110…
…1111110101000000
32221220102212010200
41010111233311000
54322004122431
6305434325200
740261346040
oct10425576500
92856385120
101146551616
11539220221
1227bb89800
131536cc612
14ac3b9720
156a9cdee6
hex4456fd40

1146551616 has 168 divisors, whose sum is σ = 3877446144. Its totient is φ = 316984320.

The previous prime is 1146551611. The next prime is 1146551639. The reversal of 1146551616 is 6161556411.

1146551616 is a `hidden beast` number, since 1 + 1 + 46 + 551 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×11465516162 = 2629161216304422912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146551611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120406 + ... + 129578.

Almost surely, 21146551616 is an apocalyptic number.

1146551616 is a gapful number since it is divisible by the number (16) 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 1146551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938723072).

1146551616 is an abundant number, since it is smaller than the sum of its proper divisors (2730894528).

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

1146551616 is a wasteful number, since it uses less digits than its factorization.

1146551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9216 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1146551616 is about 33860.7680952456. The cubic root of 1146551616 is about 1046.6413059069.

The spelling of 1146551616 in words is "one billion, one hundred forty-six million, five hundred fifty-one thousand, six hundred sixteen".