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1318680000 = 2634541137
BaseRepresentation
bin100111010011001…
…0111010111000000
310101220022212220000
41032212113113000
510200040230000
6334503520000
744451411051
oct11646272700
93356285800
101318680000
116173a6890
12309759000
13180278631
14c71c4728
157ab80000
hex4e9975c0

1318680000 has 700 divisors, whose sum is σ = 5472741912. Its totient is φ = 311040000.

The previous prime is 1318679993. The next prime is 1318680019. The reversal of 1318680000 is 868131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 35639982 + ... + 35640018.

Almost surely, 21318680000 is an apocalyptic number.

1318680000 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 1318680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736370956).

1318680000 is an abundant number, since it is smaller than the sum of its proper divisors (4154061912).

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

1318680000 is an equidigital number, since it uses as much as digits as its factorization.

1318680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1318680000 is about 36313.6338032976. The cubic root of 1318680000 is about 1096.5955347640.

The spelling of 1318680000 in words is "one billion, three hundred eighteen million, six hundred eighty thousand".