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1115450668332 = 223371113173371801
BaseRepresentation
bin10000001110110110000…
…010100111010100101100
310221122011200020001011000
4100032312002213110230
5121233420332341312
62212233031000300
7143405623145550
oct20166602472454
93848150201130
101115450668332
113a0072905880
12160222209090
1381256ac6280
143bdb94c1860
151e037136adc
hex103b60a752c

1115450668332 has 768 divisors, whose sum is σ = 4125734645760. Its totient is φ = 250822656000.

The previous prime is 1115450668249. The next prime is 1115450668333. The reversal of 1115450668332 is 2338660545111.

1115450668332 is a `hidden beast` number, since 1 + 1 + 1 + 54 + 506 + 68 + 3 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (1115450668333) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619349832 + ... + 619351632.

It is an arithmetic number, because the mean of its divisors is an integer number (5372050320).

Almost surely, 21115450668332 is an apocalyptic number.

1115450668332 is a gapful number since it is divisible by the number (12) 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 1115450668332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062867322880).

1115450668332 is an abundant number, since it is smaller than the sum of its proper divisors (3010283977428).

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

1115450668332 is a wasteful number, since it uses less digits than its factorization.

1115450668332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1115450668332 in words is "one trillion, one hundred fifteen billion, four hundred fifty million, six hundred sixty-eight thousand, three hundred thirty-two".