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81539188104 = 233111919185109
BaseRepresentation
bin100101111110000011…
…1010100010110001000
321210110121100221010210
41023330013110112020
52313443013004404
6101243015441120
75614421443323
oct1137407242610
9253417327123
1081539188104
1131642822970
12139773861a0
1378c5c981ca
143d3735d7ba
1521c36a9689
hex12fc1d4588

81539188104 has 128 divisors (see below), whose sum is σ = 235312128000. Its totient is φ = 23285548800.

The previous prime is 81539188079. The next prime is 81539188153. The reversal of 81539188104 is 40188193518.

It is a happy number.

It is a super-2 number, since 2×815391881042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 915502 + ... + 1000610.

It is an arithmetic number, because the mean of its divisors is an integer number (1838376000).

Almost surely, 281539188104 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 81539188104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117656064000).

81539188104 is an abundant number, since it is smaller than the sum of its proper divisors (153772939896).

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

81539188104 is a wasteful number, since it uses less digits than its factorization.

81539188104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85339 (or 85335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 81539188104 in words is "eighty-one billion, five hundred thirty-nine million, one hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 191 209 228 264 382 418 456 573 627 764 836 1146 1254 1528 1672 2101 2292 2508 3629 4202 4584 5016 6303 7258 8404 10887 12606 14516 16808 21774 25212 29032 39919 43548 50424 79838 85109 87096 119757 159676 170218 239514 255327 319352 340436 479028 510654 680872 936199 958056 1021308 1617071 1872398 2042616 2808597 3234142 3744796 4851213 5617194 6468284 7489592 9702426 11234388 12936568 16255819 17787781 19404852 22468776 32511638 35575562 38809704 48767457 53363343 65023276 71151124 97534914 106726686 130046552 142302248 178814009 195069828 213453372 308860561 357628018 390139656 426906744 536442027 617721122 715256036 926581683 1072884054 1235442244 1430512072 1853163366 2145768108 2470884488 3397466171 3706326732 4291536216 6794932342 7412653464 10192398513 13589864684 20384797026 27179729368 40769594052 81539188104