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2381141628 = 2232297513037
BaseRepresentation
bin1000110111101101…
…0101011001111100
320010221112112020200
42031323111121330
514334033013003
61032140043500
7113002240605
oct21573253174
96127475220
102381141628
111012101a48
12565533590
132bc415058
14188350dac
15de09d6a3
hex8ded567c

2381141628 has 72 divisors (see below), whose sum is σ = 6236892480. Its totient is φ = 765072000.

The previous prime is 2381141573. The next prime is 2381141629. The reversal of 2381141628 is 8261411832.

2381141628 is a `hidden beast` number, since 23 + 8 + 1 + 1 + 4 + 1 + 628 = 666.

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 = 2381141592 and 2381141601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381141629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782526 + ... + 785562.

Almost surely, 22381141628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381141628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118446240).

2381141628 is an abundant number, since it is smaller than the sum of its proper divisors (3855750852).

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

2381141628 is a wasteful number, since it uses less digits than its factorization.

2381141628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3822 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2381141628 is about 48796.9428140739. The cubic root of 2381141628 is about 1335.3498927175.

The spelling of 2381141628 in words is "two billion, three hundred eighty-one million, one hundred forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 751 1044 1502 2253 3004 3037 4506 6074 6759 9012 9111 12148 13518 18222 21779 27036 27333 36444 43558 54666 65337 87116 88073 109332 130674 176146 196011 261348 264219 352292 392022 528438 784044 792657 1056876 1585314 2280787 3170628 4561574 6842361 9123148 13684722 20527083 27369444 41054166 66142823 82108332 132285646 198428469 264571292 396856938 595285407 793713876 1190570814 2381141628