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31273631032 = 237283995089
BaseRepresentation
bin11101001000000011…
…011011110100111000
32222201111212001200211
4131020003123310320
51003022022143112
622211130240504
72154663322600
oct351003336470
988644761624
1031273631032
1112299170966
126089586134
132c451c9a27
141729663c00
15c3085b0a7
hex7480dbd38

31273631032 has 48 divisors (see below), whose sum is σ = 68293638000. Its totient is φ = 13386868992.

The previous prime is 31273630991. The next prime is 31273631033. The reversal of 31273631032 is 23013637213.

It is a junction number, because it is equal to n+sod(n) for n = 31273630985 and 31273631003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31273631033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281344 + ... + 376432.

It is an arithmetic number, because the mean of its divisors is an integer number (1422784125).

Almost surely, 231273631032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31273631032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34146819000).

31273631032 is an abundant number, since it is smaller than the sum of its proper divisors (37020006968).

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

31273631032 is a wasteful number, since it uses less digits than its factorization.

31273631032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95948 (or 95937 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 31273631032 in words is "thirty-one billion, two hundred seventy-three million, six hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 839 1678 3356 5873 6712 11746 23492 41111 46984 82222 95089 164444 190178 328888 380356 665623 760712 1331246 2662492 4659361 5324984 9318722 18637444 37274888 79779671 159559342 319118684 558457697 638237368 1116915394 2233830788 3909203879 4467661576 7818407758 15636815516 31273631032