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72342024327 = 3229421658367
BaseRepresentation
bin100001101011111101…
…0111011000010000111
320220201122021121021100
41003113322323002013
52141124024234302
653122232351143
75140463026626
oct1032772730207
9226648247240
1072342024327
1128753206671
121202b2454b3
136a8b714871
143703aa36bd
151d36033d1c
hex10d7ebb087

72342024327 has 24 divisors (see below), whose sum is σ = 108354205440. Its totient is φ = 46454304960.

The previous prime is 72342024319. The next prime is 72342024343.

72342024327 is a `hidden beast` number, since 72 + 342 + 0 + 243 + 2 + 7 = 666.

72342024327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72342024327 - 23 = 72342024319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72342024291 and 72342024300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72342024347) 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, 219303 + ... + 439064.

It is an arithmetic number, because the mean of its divisors is an integer number (4514758560).

Almost surely, 272342024327 is an apocalyptic number.

72342024327 is a deficient number, since it is larger than the sum of its proper divisors (36012181113).

72342024327 is a wasteful number, since it uses less digits than its factorization.

72342024327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658823 (or 658820 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 723420 and 24327, that added together give a palindrome (747747).

The spelling of 72342024327 in words is "seventy-two billion, three hundred forty-two million, twenty-four thousand, three hundred twenty-seven".

Divisors: 1 3 9 29 87 261 421 1263 3789 12209 36627 109881 658367 1975101 5925303 19092643 57277929 171833787 277172507 831517521 2494552563 8038002703 24114008109 72342024327