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31072053738 = 23112277732683
BaseRepresentation
bin11100111100000010…
…011110100111101010
32222012110112212122010
4130330002132213222
51002113421204423
622135125540350
72146665045645
oct347402364752
988173485563
1031072053738
11121a5400960
126031b746b6
132c1250c81b
14170a990a5c
15c1ccde693
hex73c09e9ea

31072053738 has 64 divisors (see below), whose sum is σ = 68205722112. Its totient is φ = 9358678080.

The previous prime is 31072053737. The next prime is 31072053763. The reversal of 31072053738 is 83735027013.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31072053696 and 31072053705.

It is not an unprimeable number, because it can be changed into a prime (31072053737) 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, 11579745 + ... + 11582427.

It is an arithmetic number, because the mean of its divisors is an integer number (1065714408).

Almost surely, 231072053738 is an apocalyptic number.

31072053738 is an abundant number, since it is smaller than the sum of its proper divisors (37133668374).

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

31072053738 is a wasteful number, since it uses less digits than its factorization.

31072053738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699.

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 31072053738 in words is "thirty-one billion, seventy-two million, fifty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 227 454 681 773 1362 1546 2319 2497 2683 4638 4994 5366 7491 8049 8503 14982 16098 17006 25509 29513 51018 59026 88539 175471 177078 350942 526413 609041 1052826 1218082 1827123 1930181 2073959 3654246 3860362 4147918 5790543 6221877 6699451 11581086 12443754 13398902 20098353 22813549 40196706 45627098 68440647 136881294 470788693 941577386 1412366079 2824732158 5178675623 10357351246 15536026869 31072053738