Search a number
-
+
1136005026156 = 223372111317227389
BaseRepresentation
bin10000100001111111001…
…011010001000101101100
311000121020010212121101000
4100201333023101011230
5122103014241314111
62225512402120300
7145034156254200
oct20417713210554
94017203777330
101136005026156
113a8860249060
121641b9950090
13831812a8a90
143cda926cb00
151e83b8a6c56
hex1087f2d116c

1136005026156 has 1152 divisors, whose sum is σ = 4291549516800. Its totient is φ = 254561771520.

The previous prime is 1136005026137. The next prime is 1136005026181. The reversal of 1136005026156 is 6516205006311.

1136005026156 is a `hidden beast` number, since 1 + 1 + 36 + 0 + 0 + 5 + 0 + 2 + 615 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1136005026156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2920321210 + ... + 2920321598.

It is an arithmetic number, because the mean of its divisors is an integer number (3725303400).

Almost surely, 21136005026156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136005026156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145774758400).

1136005026156 is an abundant number, since it is smaller than the sum of its proper divisors (3155544490644).

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

1136005026156 is a wasteful number, since it uses less digits than its factorization.

1136005026156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1136005026156 in words is "one trillion, one hundred thirty-six billion, five million, twenty-six thousand, one hundred fifty-six".