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31682269890 = 2325418585981
BaseRepresentation
bin11101100000011010…
…010001001011000010
310000202222210001211100
4131200122101023002
51004341130114030
622315444555230
72201054564535
oct354032211302
9100688701740
1031682269890
11124888a7327
1261823b2b16
132caba7447b
141767a36a1c
15c56679360
hex7606912c2

31682269890 has 48 divisors (see below), whose sum is σ = 84383031096. Its totient is φ = 8242540800.

The previous prime is 31682269867. The next prime is 31682269901. The reversal of 31682269890 is 9896228613.

It can be written as a sum of positive squares in 4 ways, for example, as 23100656121 + 8581613769 = 151989^2 + 92637^2 .

It is a super-3 number, since 3×316822698903 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4289301 + ... + 4296680.

Almost surely, 231682269890 is an apocalyptic number.

31682269890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31682269890 is an abundant number, since it is smaller than the sum of its proper divisors (52700761206).

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

31682269890 is a wasteful number, since it uses less digits than its factorization.

31682269890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586035 (or 8586032 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 31682269890 in words is "thirty-one billion, six hundred eighty-two million, two hundred sixty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 8585981 17171962 25757943 42929905 51515886 77273829 85859810 128789715 154547658 257579430 352025221 386369145 704050442 772738290 1056075663 1760126105 2112151326 3168226989 3520252210 5280378315 6336453978 10560756630 15841134945 31682269890