Search a number
-
+
1087265410560 = 2934573173331
BaseRepresentation
bin11111101001001100001…
…00011000111000000000
310211221102101200121010000
433310212010120320000
5120303204421114220
62151252143040000
7141360310334430
oct17644604307000
93757371617100
101087265410560
1138a119a8550a
12156876ba0000
137b6b46b3454
143a8a40aa2c0
151d4379c9390
hexfd26118e00

1087265410560 has 1600 divisors, whose sum is σ = 4671130742784. Its totient is φ = 236489932800.

The previous prime is 1087265410547. The next prime is 1087265410571. The reversal of 1087265410560 is 650145627801.

1087265410560 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 26 + 54 + 10 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3284789595 + ... + 3284789925.

Almost surely, 21087265410560 is an apocalyptic number.

1087265410560 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 1087265410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335565371392).

1087265410560 is an abundant number, since it is smaller than the sum of its proper divisors (3583865332224).

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

1087265410560 is an equidigital number, since it uses as much as digits as its factorization.

1087265410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1087265410560 in words is "one trillion, eighty-seven billion, two hundred sixty-five million, four hundred ten thousand, five hundred sixty".