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1151240630166 = 236111923277593
BaseRepresentation
bin10000110000001011010…
…010011110111110010110
311002001112221100111000000
4100300023102132332112
5122330220100131131
62240512254032130
7146113546616604
oct20601322367626
94061487314000
101151240630166
11404269360930
121671501a8646
138473b896a93
143da128a2874
151ee2e209ce6
hex10c0b49ef96

1151240630166 has 448 divisors, whose sum is σ = 3118854689280. Its totient is φ = 314457707520.

The previous prime is 1151240630161. The next prime is 1151240630167. The reversal of 1151240630166 is 6610360421511.

1151240630166 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 4 + 0 + 630 + 16 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1151240630166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151240630161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1941383566 + ... + 1941384158.

Almost surely, 21151240630166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151240630166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559427344640).

1151240630166 is an abundant number, since it is smaller than the sum of its proper divisors (1967614059114).

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

1151240630166 is a wasteful number, since it uses less digits than its factorization.

1151240630166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1151240630166 in words is "one trillion, one hundred fifty-one billion, two hundred forty million, six hundred thirty thousand, one hundred sixty-six".