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82031433413028 = 223112331871599233
BaseRepresentation
bin10010101001101101101110…
…011100101111000110100100
3101202110010110122012200222120
4102221231232130233012210
541223000333423204103
6450244415324425540
723164401251202111
oct2251555634570644
9352403418180876
1082031433413028
1124157376674420
12924a2a90a82b0
1336a06b9738768
1416384b1dbb908
15973c5c2d5253
hex4a9b6e72f1a4

82031433413028 has 96 divisors (see below), whose sum is σ = 224914439135232. Its totient is φ = 23010219724800.

The previous prime is 82031433412987. The next prime is 82031433413087.

82031433413028 is nontrivially palindromic in base 10.

82031433413028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435705501 + ... + 435893732.

It is an arithmetic number, because the mean of its divisors is an integer number (2342858740992).

Almost surely, 282031433413028 is an apocalyptic number.

It is an amenable number.

82031433413028 is an abundant number, since it is smaller than the sum of its proper divisors (142883005722204).

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

82031433413028 is a wasteful number, since it uses less digits than its factorization.

82031433413028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871599305 (or 871599303 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 82031433413028 in words is "eighty-two trillion, thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 4092 4278 7843 8556 15686 23529 31372 47058 94116 871599233 1743198466 2614797699 3486396932 5229595398 9587591563 10459190796 19175183126 20046782359 27019576223 28762774689 38350366252 40093564718 54039152446 57525549378 60140347077 80187129436 81058728669 108078304892 115051098756 120280694154 162117457338 220514605949 240561388308 297215338453 324234914676 441029211898 594430676906 621450253129 661543817847 882058423796 891646015359 1188861353812 1242900506258 1323087635694 1783292030718 1864350759387 2485801012516 2646175271388 3566584061436 3728701518774 6835952784419 7457403037548 13671905568838 20507858353257 27343811137676 41015716706514 82031433413028