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72275207710347 = 32173134943662721
BaseRepresentation
bin10000011011101111100010…
…000101001110011010001011
3100110220102221111022211201200
4100123233202011032122023
533433124111133212342
6413414434432515243
721136466011051545
oct2033574205163213
9313812844284650
1072275207710347
112103581a5a6024
1281335049abb23
1331436a48ba0a5
1413bc1d28dc695
1585509d83d94c
hex41bbe214e68b

72275207710347 has 48 divisors (see below), whose sum is σ = 114431261817600. Its totient is φ = 43760524492800.

The previous prime is 72275207710339. The next prime is 72275207710357. The reversal of 72275207710347 is 74301770257227.

72275207710347 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 520 + 7 + 7 + 103 + 4 + 7 = 666.

It is not a de Polignac number, because 72275207710347 - 23 = 72275207710339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72275207710293 and 72275207710302.

It is not an unprimeable number, because it can be changed into a prime (72275207710357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20176054 + ... + 23486667.

It is an arithmetic number, because the mean of its divisors is an integer number (2383984621200).

Almost surely, 272275207710347 is an apocalyptic number.

72275207710347 is a deficient number, since it is larger than the sum of its proper divisors (42156054107253).

72275207710347 is a wasteful number, since it uses less digits than its factorization.

72275207710347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43663124 (or 43663121 counting only the distinct ones).

The product of its (nonzero) digits is 8067360, while the sum is 54.

The spelling of 72275207710347 in words is "seventy-two trillion, two hundred seventy-five billion, two hundred seven million, seven hundred ten thousand, three hundred forty-seven".

Divisors: 1 3 9 17 31 51 93 153 279 349 527 1047 1581 3141 4743 5933 10819 17799 32457 53397 97371 183923 551769 1655307 43662721 130988163 392964489 742266257 1353544351 2226798771 4060633053 6680396313 12181899159 15238289629 23010253967 45714868887 69030761901 137144606661 207092285703 259050923693 472386978499 777152771079 1417160935497 2331458313237 4251482806491 8030578634483 24091735903449 72275207710347