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72416918412 = 223212737194259
BaseRepresentation
bin100001101110001100…
…0100111101110001100
320220220212012121122100
41003130120213232030
52141302212342122
653133505515100
75142362436006
oct1033430475614
9226825177570
1072416918412
112879150a703
1212050342a90
136aa10a7ba7
14370d9db376
151d3c8c9aac
hex10dc627b8c

72416918412 has 72 divisors (see below), whose sum is σ = 184588185600. Its totient is φ = 23936840928.

The previous prime is 72416918411. The next prime is 72416918429. The reversal of 72416918412 is 21481961427.

72416918412 is a `hidden beast` number, since 72 + 4 + 169 + 1 + 8 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (72416918411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17001139 + ... + 17005397.

It is an arithmetic number, because the mean of its divisors is an integer number (2563724800).

Almost surely, 272416918412 is an apocalyptic number.

It is an amenable number.

72416918412 is an abundant number, since it is smaller than the sum of its proper divisors (112171267188).

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

72416918412 is a wasteful number, since it uses less digits than its factorization.

72416918412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115 (or 8110 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 72416918412 in words is "seventy-two billion, four hundred sixteen million, nine hundred eighteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 3719 4259 4572 7438 8518 11157 12777 14876 17036 22314 25554 33471 38331 44628 51108 66942 76662 133884 153324 472313 540893 944626 1081786 1416939 1622679 1889252 2163572 2833878 3245358 4250817 4868037 5667756 6490716 8501634 9736074 15839221 17003268 19472148 31678442 47517663 63356884 95035326 142552989 190070652 285105978 570211956 2011581067 4023162134 6034743201 8046324268 12069486402 18104229603 24138972804 36208459206 72416918412