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72442466041 = 11163359112543
BaseRepresentation
bin100001101110111101…
…0000100111011111001
320220222122021120101211
41003131322010323321
52141330232403131
653140221243121
75143122541621
oct1033572047371
9226878246354
1072442466041
11287a4979a50
1212058a034a1
136aa648142a
14371316b881
151d3ec745b1
hex10dde84ef9

72442466041 has 16 divisors (see below), whose sum is σ = 79735173120. Its totient is φ = 65269858320.

The previous prime is 72442466029. The next prime is 72442466137. The reversal of 72442466041 is 14066424427.

It is a cyclic number.

It is not a de Polignac number, because 72442466041 - 25 = 72442466009 is a prime.

It is a super-2 number, since 2×724424660412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72442465985 and 72442466003.

It is not an unprimeable number, because it can be changed into a prime (72442466021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587416 + ... + 699958.

It is an arithmetic number, because the mean of its divisors is an integer number (4983448320).

Almost surely, 272442466041 is an apocalyptic number.

It is an amenable number.

72442466041 is a deficient number, since it is larger than the sum of its proper divisors (7292707079).

72442466041 is a wasteful number, since it uses less digits than its factorization.

72442466041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113076.

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 72442466041 in words is "seventy-two billion, four hundred forty-two million, four hundred sixty-six thousand, forty-one".

Divisors: 1 11 163 359 1793 3949 58517 112543 643687 1237973 18344509 40402937 201789599 444432307 6585678731 72442466041