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415190074061 = 71737477692609
BaseRepresentation
bin1100000101010110100…
…00011100001011001101
31110200200022101002021102
412002223100130023031
523300302124332221
6514422524112445
741665540254140
oct6025320341315
91420608332242
10415190074061
11150098a77914
1268572395725
13301c9677749
1416149744057
15ac0025630b
hex60ab41c2cd

415190074061 has 64 divisors (see below), whose sum is σ = 527859763200. Its totient is φ = 318420025344.

The previous prime is 415190074037. The next prime is 415190074069. The reversal of 415190074061 is 160470091514.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 415190074061 - 210 = 415190073037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415190074069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159136325 + ... + 159138933.

It is an arithmetic number, because the mean of its divisors is an integer number (8247808800).

Almost surely, 2415190074061 is an apocalyptic number.

It is an amenable number.

415190074061 is a deficient number, since it is larger than the sum of its proper divisors (112669689139).

415190074061 is a wasteful number, since it uses less digits than its factorization.

415190074061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486.

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 415190074061 in words is "four hundred fifteen billion, one hundred ninety million, seventy-four thousand, sixty-one".

Divisors: 1 7 17 37 47 119 259 329 629 769 799 1739 2609 4403 5383 5593 12173 13073 18263 28453 29563 36143 44353 91511 96533 122623 199171 206941 253001 310471 483701 614431 675731 858361 1337291 1641061 2006321 2084591 3385907 4301017 4537051 9361037 11487427 14044247 14592137 22733947 31759357 34107457 74233877 77129867 94297087 159137629 238752199 519637139 539909069 660079609 1261975909 1603050479 3488992219 8833831363 11221353353 24422945533 59312867723 415190074061