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72181091247 = 34311312374003
BaseRepresentation
bin100001100111001010…
…1000000101110101111
320220022102110100120220
41003032111000232233
52140311324404442
653054243142423
75133500103156
oct1031625005657
9226272410526
1072181091247
1128680387221
1211ba5374a13
136a642884a5
1436ca57059d
151d26d44eec
hex10ce540baf

72181091247 has 32 divisors (see below), whose sum is σ = 99456284928. Its totient is φ = 46536408576.

The previous prime is 72181091209. The next prime is 72181091273. The reversal of 72181091247 is 74219018127.

It is not a de Polignac number, because 72181091247 - 27 = 72181091119 is a prime.

It is a super-3 number, since 3×721810912473 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72181091199 and 72181091208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72181091747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18029748 + ... + 18033750.

It is an arithmetic number, because the mean of its divisors is an integer number (3108008904).

Almost surely, 272181091247 is an apocalyptic number.

72181091247 is a deficient number, since it is larger than the sum of its proper divisors (27275193681).

72181091247 is a wasteful number, since it uses less digits than its factorization.

72181091247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5399.

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 72181091247 in words is "seventy-two billion, one hundred eighty-one million, ninety-one thousand, two hundred forty-seven".

Divisors: 1 3 43 113 129 339 1237 3711 4003 4859 12009 14577 53191 139781 159573 172129 419343 452339 516387 1357017 4951711 6010583 14855133 18031749 19450577 58351731 212923573 559543343 638770719 1678630029 24060363749 72181091247