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115573007340 = 2232571953791153
BaseRepresentation
bin110101110100010110…
…0000010001111101100
3102001022111000002020100
41223220230002033230
53343143142213330
6125032110351100
711231002232160
oct1535054021754
9361274002210
10115573007340
1145017a49aaa
121a4951bb490
13ab8ac9319b
145845402ca0
1530164d9060
hex1ae8b023ec

115573007340 has 576 divisors, whose sum is σ = 435514060800. Its totient is φ = 24222302208.

The previous prime is 115573007339. The next prime is 115573007369. The reversal of 115573007340 is 43700375511.

115573007340 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 7 + 300 + 7 + 340 = 666.

It is a super-2 number, since 2×1155730073402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115573007295 and 115573007304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100236204 + ... + 100237356.

It is an arithmetic number, because the mean of its divisors is an integer number (756100800).

Almost surely, 2115573007340 is an apocalyptic number.

115573007340 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 115573007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217757030400).

115573007340 is an abundant number, since it is smaller than the sum of its proper divisors (319941053460).

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

115573007340 is a wasteful number, since it uses less digits than its factorization.

115573007340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 115573007340 in words is "one hundred fifteen billion, five hundred seventy-three million, seven thousand, three hundred forty".