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42356987301 = 3295961135277
BaseRepresentation
bin100111011100101011…
…000101010110100101
311001022221010220020110
4213130223011112211
51143221342043201
631243013123233
73026434310616
oct473453052645
9131287126213
1042356987301
1116a66462532
128261329519
133cc048b2c5
14209b631c0d
15117d8b36d6
hex9dcac55a5

42356987301 has 32 divisors (see below), whose sum is σ = 60388099200. Its totient is φ = 26362586880.

The previous prime is 42356987297. The next prime is 42356987341. The reversal of 42356987301 is 10378965324.

It is not a de Polignac number, because 42356987301 - 22 = 42356987297 is a prime.

It is a super-2 number, since 2×423569873012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42356987341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245475 + ... + 380751.

It is an arithmetic number, because the mean of its divisors is an integer number (1887128100).

It is a 1-persistent number, because it is pandigital, but 2⋅42356987301 = 84713974602 is not.

Almost surely, 242356987301 is an apocalyptic number.

It is an amenable number.

42356987301 is a deficient number, since it is larger than the sum of its proper divisors (18031111899).

42356987301 is a wasteful number, since it uses less digits than its factorization.

42356987301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135429.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 42356987301 in words is "forty-two billion, three hundred fifty-six million, nine hundred eighty-seven thousand, three hundred one".

Divisors: 1 3 29 59 61 87 177 183 1711 1769 3599 5133 5307 10797 104371 135277 313113 405831 3923033 7981343 8251897 11769099 23944029 24755691 231458947 239305013 486861923 694376841 717915039 1460585769 14118995767 42356987301