Search a number
-
+
1130370355296 = 25327132101107307
BaseRepresentation
bin10000011100101111010…
…100101101000001100000
311000001200110020200001200
4100130233110231001200
5122004444302332141
62223141315401200
7144444426326310
oct20345724550140
94001613220050
101130370355296
113a6429662486
121630a68b3200
1382793b02600
143c9d2b9b440
151e60bd84ab6
hex1072f52d060

1130370355296 has 864 divisors, whose sum is σ = 4068174958848. Its totient is φ = 291456921600.

The previous prime is 1130370355273. The next prime is 1130370355357. The reversal of 1130370355296 is 6925530730311.

1130370355296 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 7 + 0 + 3 + 552 + 96 = 666.

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 143 ways as a sum of consecutive naturals, for example, 3681987975 + ... + 3681988281.

It is an arithmetic number, because the mean of its divisors is an integer number (4708535832).

Almost surely, 21130370355296 is an apocalyptic number.

1130370355296 is a gapful number since it is divisible by the number (16) 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 1130370355296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034087479424).

1130370355296 is an abundant number, since it is smaller than the sum of its proper divisors (2937804603552).

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

1130370355296 is a wasteful number, since it uses less digits than its factorization.

1130370355296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 1130370355296 in words is "one trillion, one hundred thirty billion, three hundred seventy million, three hundred fifty-five thousand, two hundred ninety-six".