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536234131638 = 233171127351817
BaseRepresentation
bin1111100110110100000…
…10111000000010110110
31220021010002010022112000
413303122002320002312
532241201414203023
61050201554240130
753512244625162
oct7633202700266
91807102108460
10536234131638
11197463207937
1287b13886046
133b749c5665a
141bd4d5c5ca2
15de36be2243
hex7cda0b80b6

536234131638 has 64 divisors (see below), whose sum is σ = 1261863645120. Its totient is φ = 168212146176.

The previous prime is 536234131597. The next prime is 536234131639. The reversal of 536234131638 is 836131432635.

It is a happy number.

536234131638 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 3 + 4 + 1 + 3 + 1 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 536234131593 and 536234131602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536234131639) 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, 10322706 + ... + 10374522.

It is an arithmetic number, because the mean of its divisors is an integer number (19716619455).

Almost surely, 2536234131638 is an apocalyptic number.

536234131638 is an abundant number, since it is smaller than the sum of its proper divisors (725629513482).

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

536234131638 is a wasteful number, since it uses less digits than its factorization.

536234131638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63118 (or 63112 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 536234131638 in words is "five hundred thirty-six billion, two hundred thirty-four million, one hundred thirty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 11273 22546 33819 51817 67638 101457 103634 155451 191641 202914 304371 310902 383282 466353 574923 608742 880889 932706 1149846 1399059 1724769 1761778 2642667 2798118 3449538 5174307 5285334 7928001 10348614 15856002 23784003 47568006 584133041 1168266082 1752399123 3504798246 5257197369 9930261697 10514394738 15771592107 19860523394 29790785091 31543184214 59581570182 89372355273 178744710546 268117065819 536234131638