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1137223098480 = 243573132996619
BaseRepresentation
bin10000100011000111110…
…001110110000001110000
311000201101000220002110210
4100203013301312001300
5122113013103122410
62230233313424120
7145106306562360
oct20430761660160
94021330802423
101137223098480
113a93258788a7
1216449986b040
138331675a131
143d082d449a0
151e8ad7b2220
hex108c7c76070

1137223098480 has 320 divisors, whose sum is σ = 4160876544000. Its totient is φ = 251437409280.

The previous prime is 1137223098467. The next prime is 1137223098497. The reversal of 1137223098480 is 848903227311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 171808611 + ... + 171815229.

It is an arithmetic number, because the mean of its divisors is an integer number (13002739200).

Almost surely, 21137223098480 is an apocalyptic number.

1137223098480 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 1137223098480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080438272000).

1137223098480 is an abundant number, since it is smaller than the sum of its proper divisors (3023653445520).

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

1137223098480 is a wasteful number, since it uses less digits than its factorization.

1137223098480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9972 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1137223098480 in words is "one trillion, one hundred thirty-seven billion, two hundred twenty-three million, ninety-eight thousand, four hundred eighty".