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1149542297820 = 22365729419473
BaseRepresentation
bin10000101110100110000…
…011110111000011011100
311001220011120122021000000
4100232212003313003130
5122313230312012240
62240031544534300
7146023505211420
oct20564603670334
94056146567000
101149542297820
11403577727684
12166957481390
138452aa825b7
143d8d10d2b80
151ed80085430
hex10ba60f70dc

1149542297820 has 672 divisors, whose sum is σ = 4383927515520. Its totient is φ = 247478353920.

The previous prime is 1149542297797. The next prime is 1149542297851. The reversal of 1149542297820 is 287922459411.

1149542297820 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 542 + 2 + 9 + 78 + 20 = 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 223 ways as a sum of consecutive naturals, for example, 121344604 + ... + 121354076.

It is an arithmetic number, because the mean of its divisors is an integer number (6523701660).

Almost surely, 21149542297820 is an apocalyptic number.

1149542297820 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 1149542297820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191963757760).

1149542297820 is an abundant number, since it is smaller than the sum of its proper divisors (3234385217700).

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

1149542297820 is a wasteful number, since it uses less digits than its factorization.

1149542297820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9560 counting only the distinct ones).

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

The spelling of 1149542297820 in words is "one trillion, one hundred forty-nine billion, five hundred forty-two million, two hundred ninety-seven thousand, eight hundred twenty".