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1158980065152 = 27371324196089
BaseRepresentation
bin10000110111011000100…
…110000101011110000000
311002210112022110111220020
4100313120212011132000
5122442042344041102
62244232245013440
7146506415003160
oct20673046053600
94083468414806
101158980065152
11407580039998
121687500b4280
13853a3138700
14401487005a0
15202338d5bbc
hex10dd8985780

1158980065152 has 384 divisors, whose sum is σ = 3819511584000. Its totient is φ = 304885481472.

The previous prime is 1158980065141. The next prime is 1158980065211. The reversal of 1158980065152 is 2515600898511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1158980065095 and 1158980065104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190336924 + ... + 190343012.

It is an arithmetic number, because the mean of its divisors is an integer number (9946644750).

Almost surely, 21158980065152 is an apocalyptic number.

1158980065152 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 1158980065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909755792000).

1158980065152 is an abundant number, since it is smaller than the sum of its proper divisors (2660531518848).

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

1158980065152 is a wasteful number, since it uses less digits than its factorization.

1158980065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 51.

The spelling of 1158980065152 in words is "one trillion, one hundred fifty-eight billion, nine hundred eighty million, sixty-five thousand, one hundred fifty-two".