Search a number
-
+
15540564032730 = 232511293494393533
BaseRepresentation
bin1110001000100101000111…
…0011000111110011011010
32001000122220121221110102200
43202021101303013303122
54014104033343021410
653015123032511030
73162524443515162
oct342112163076332
961018817843380
1015540564032730
114a51797289170
1218aba4754b476
13889613234589
143ba24b1695a2
151be3a45453c0
hexe2251cc7cda

15540564032730 has 384 divisors, whose sum is σ = 45846440640000. Its totient is φ = 3617789736960.

The previous prime is 15540564032723. The next prime is 15540564032753. The reversal of 15540564032730 is 3723046504551.

15540564032730 is a `hidden beast` number, since 1 + 5 + 54 + 0 + 564 + 0 + 3 + 2 + 7 + 30 = 666.

15540564032730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×155405640327302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4398686044 + ... + 4398689576.

It is an arithmetic number, because the mean of its divisors is an integer number (119391772500).

Almost surely, 215540564032730 is an apocalyptic number.

15540564032730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15540564032730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923220320000).

15540564032730 is an abundant number, since it is smaller than the sum of its proper divisors (30305876607270).

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

15540564032730 is a wasteful number, since it uses less digits than its factorization.

15540564032730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 15540564032730 in words is "fifteen trillion, five hundred forty billion, five hundred sixty-four million, thirty-two thousand, seven hundred thirty".