Search a number
-
+
158453011906560 = 216325733123189
BaseRepresentation
bin100100000001110010110111…
…011111010000000000000000
3202210000221220211200102222100
4210001302313133100000000
5131232043232022002220
61321000150405310400
745242565230352240
oct4401626737200000
9683027824612870
10158453011906560
11465405aa3a5918
1215931309105400
136a55093830c47
142b1b2495b3b20
15134bad6c79d90
hex901cb77d0000

158453011906560 has 816 divisors, whose sum is σ = 629694695560320. Its totient is φ = 36106854727680.

The previous prime is 158453011906559. The next prime is 158453011906601. The reversal of 158453011906560 is 65609110354851.

It is a happy number.

158453011906560 is a `hidden beast` number, since 1 + 5 + 8 + 4 + 530 + 11 + 90 + 6 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 158453011906497 and 158453011906506.

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, 6833099446 + ... + 6833122634.

Almost surely, 2158453011906560 is an apocalyptic number.

158453011906560 is a gapful number since it is divisible by the number (10) 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 158453011906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314847347780160).

158453011906560 is an abundant number, since it is smaller than the sum of its proper divisors (471241683653760).

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

158453011906560 is an equidigital number, since it uses as much as digits as its factorization.

158453011906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570 (or 23537 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

It can be divided in two parts, 15845301 and 1906560, that added together give a triangular number (17751861 = T5958).

The spelling of 158453011906560 in words is "one hundred fifty-eight trillion, four hundred fifty-three billion, eleven million, nine hundred six thousand, five hundred sixty".