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72419074423709 = 137018713912061
BaseRepresentation
bin10000011101110101100001…
…001101001011101110011101
3100111102012021210221010000212
4100131311201031023232131
533443003231023024314
6414004510303502205
721153051113664626
oct2035654115135635
9314365253833025
1072419074423709
1121090836607142
1281573755b7965
1331541215a4050
1413c515d8a6a4d
15858bbdc57e3e
hex41dd6134bb9d

72419074423709 has 16 divisors (see below), whose sum is σ = 78110076857904. Its totient is φ = 66745280448000.

The previous prime is 72419074423679. The next prime is 72419074423733. The reversal of 72419074423709 is 90732447091427.

It can be written as a sum of positive squares in 8 ways, for example, as 30105961872100 + 42313112551609 = 5486890^2 + 6504853^2 .

It is a cyclic number.

It is not a de Polignac number, because 72419074423709 - 216 = 72419074358173 is a prime.

It is a super-2 number, since 2×724190744237092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72419074423799) 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, 78945539 + ... + 79857599.

It is an arithmetic number, because the mean of its divisors is an integer number (4881879803619).

Almost surely, 272419074423709 is an apocalyptic number.

It is an amenable number.

72419074423709 is a deficient number, since it is larger than the sum of its proper divisors (5691002434195).

72419074423709 is a wasteful number, since it uses less digits than its factorization.

72419074423709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921488.

The product of its (nonzero) digits is 21337344, while the sum is 59.

The spelling of 72419074423709 in words is "seventy-two trillion, four hundred nineteen billion, seventy-four million, four hundred twenty-three thousand, seven hundred nine".

Divisors: 1 13 701 8713 9113 113269 912061 6107813 11856793 79401569 639354761 7946787493 8311611893 103308237409 5570698032593 72419074423709