Search a number
-
+
1146060997632 = 21033712832063
BaseRepresentation
bin10000101011010110100…
…011110000010000000000
311001120011221221212221000
4100223112203300100000
5122234113103411012
62234254304332000
7145541313514245
oct20532643602000
94046157855830
101146060997632
11402050612291
12166145614000
13840c4762665
143d680a015cc
151ec2961dddc
hex10ad68f0400

1146060997632 has 352 divisors, whose sum is σ = 3455718543360. Its totient is φ = 375126958080.

The previous prime is 1146060997597. The next prime is 1146060997639. The reversal of 1146060997632 is 2367990606411.

1146060997632 is a `hidden beast` number, since 1 + 1 + 460 + 60 + 9 + 97 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1146060997639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555530233 + ... + 555532295.

Almost surely, 21146060997632 is an apocalyptic number.

1146060997632 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 1146060997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727859271680).

1146060997632 is an abundant number, since it is smaller than the sum of its proper divisors (2309657545728).

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

1146060997632 is a wasteful number, since it uses less digits than its factorization.

1146060997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1146060997632 in words is "one trillion, one hundred forty-six billion, sixty million, nine hundred ninety-seven thousand, six hundred thirty-two".