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76405505500 = 22531723390821
BaseRepresentation
bin100011100101000011…
…1110111110111011100
321022012211102211112001
41013022013313313130
52222434302134000
655033351052044
75343254036542
oct1071207676734
9238184384461
1076405505500
112a448a09175
1212984071024
1372885318ac
1439ab61dd92
151ec2b4846a
hex11ca1f7ddc

76405505500 has 96 divisors (see below), whose sum is σ = 184367933568. Its totient is φ = 27513728000.

The previous prime is 76405505489. The next prime is 76405505509. The reversal of 76405505500 is 550550467.

It is a self number, because there is not a number n which added to its sum of digits gives 76405505500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76405505509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90 + ... + 390910.

It is an arithmetic number, because the mean of its divisors is an integer number (1920499308).

Almost surely, 276405505500 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 76405505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92183966784).

76405505500 is an abundant number, since it is smaller than the sum of its proper divisors (107962428068).

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

76405505500 is a wasteful number, since it uses less digits than its factorization.

76405505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390880 (or 390868 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The spelling of 76405505500 in words is "seventy-six billion, four hundred five million, five hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 125 170 230 250 340 391 425 460 500 575 782 850 1150 1564 1700 1955 2125 2300 2875 3910 4250 5750 7820 8500 9775 11500 19550 39100 48875 97750 195500 390821 781642 1563284 1954105 3908210 6643957 7816420 8988883 9770525 13287914 17977766 19541050 26575828 33219785 35955532 39082100 44944415 48852625 66439570 89888830 97705250 132879140 152811011 166098925 179777660 195410500 224722075 305622022 332197850 449444150 611244044 664395700 764055055 830494625 898888300 1123610375 1528110110 1660989250 2247220750 3056220220 3321978500 3820275275 4494441500 7640550550 15281101100 19101376375 38202752750 76405505500