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1125298768320 = 263355919911093
BaseRepresentation
bin10000011000000001000…
…010001000100111000000
310222120121000011100122000
4100120001002020213000
5121414102441041240
62220542145544000
7144204644465406
oct20300102104700
93876530140560
101125298768320
113a4266900091
12162110345000
138216619aa7c
143c6713c3476
151e4119dc430
hex106010889c0

1125298768320 has 448 divisors, whose sum is σ = 4057741440000. Its totient is φ = 293484736512.

The previous prime is 1125298768303. The next prime is 1125298768331. The reversal of 1125298768320 is 238678925211.

1125298768320 is a `hidden beast` number, since 1 + 1 + 2 + 529 + 87 + 6 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101436694 + ... + 101447786.

Almost surely, 21125298768320 is an apocalyptic number.

1125298768320 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 1125298768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028870720000).

1125298768320 is an abundant number, since it is smaller than the sum of its proper divisors (2932442671680).

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

1125298768320 is a wasteful number, since it uses less digits than its factorization.

1125298768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1125298768320 in words is "one trillion, one hundred twenty-five billion, two hundred ninety-eight million, seven hundred sixty-eight thousand, three hundred twenty".