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81339956464 = 24132112238311
BaseRepresentation
bin100101111000000111…
…1010011110011110000
321202221201110220201011
41023300033103303300
52313041012101324
6101211141320304
75606452136134
oct1136017236360
9252851426634
1081339956464
1131550315218
1213920706094
13789391c870
143d18adb3c4
1521b0e52c94
hex12f03d3cf0

81339956464 has 80 divisors (see below), whose sum is σ = 171308591104. Its totient is φ = 37191571200.

The previous prime is 81339956447. The next prime is 81339956501. The reversal of 81339956464 is 46465993318.

It is a junction number, because it is equal to n+sod(n) for n = 81339956399 and 81339956408.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9782869 + ... + 9791179.

Almost surely, 281339956464 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 81339956464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85654295552).

81339956464 is an abundant number, since it is smaller than the sum of its proper divisors (89968634640).

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

81339956464 is a wasteful number, since it uses less digits than its factorization.

81339956464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8760 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 58.

The spelling of 81339956464 in words is "eighty-one billion, three hundred thirty-nine million, nine hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 223 422 446 844 892 1688 1784 2743 2899 3376 3568 5486 5798 8311 10972 11596 16622 21944 23192 33244 43888 46384 47053 66488 94106 108043 132976 188212 216086 376424 432172 611689 752848 864344 1223378 1728688 1753621 1853353 2446756 3507242 3706706 4893512 7014484 7413412 9787024 14028968 14826824 22797073 24093589 28057936 29653648 45594146 48187178 91188292 96374356 182376584 192748712 364753168 385497424 391057483 782114966 1564229932 3128459864 5083747279 6256919728 10167494558 20334989116 40669978232 81339956464