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1137398573280 = 253559199201821
BaseRepresentation
bin10000100011010010001…
…111001110100011100000
311000201211021002010122110
4100203102033032203200
5122113343013321110
62230302542435320
7145113540232614
oct20432217164340
94021737063573
101137398573280
113a940592a6a2
12164528592b40
1383343c08388
143d09c381344
151e8bddc4a20
hex108d23ce8e0

1137398573280 has 192 divisors, whose sum is σ = 3661858368000. Its totient is φ = 296665712640.

The previous prime is 1137398573261. The next prime is 1137398573287. The reversal of 1137398573280 is 823758937311.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1137398573280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137398573287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5534770 + ... + 5736590.

It is an arithmetic number, because the mean of its divisors is an integer number (19072179000).

Almost surely, 21137398573280 is an apocalyptic number.

1137398573280 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 1137398573280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830929184000).

1137398573280 is an abundant number, since it is smaller than the sum of its proper divisors (2524459794720).

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

1137398573280 is a wasteful number, since it uses less digits than its factorization.

1137398573280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202097 (or 202089 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1137398573280 in words is "one trillion, one hundred thirty-seven billion, three hundred ninety-eight million, five hundred seventy-three thousand, two hundred eighty".