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8116215804 = 22322389241457
BaseRepresentation
bin1111000111100001…
…11001111111111100
3202221122002111000100
413203300321333330
5113110222401204
63421210401100
7405061460514
oct74360717774
922848074010
108116215804
113495435074
1216a6130190
139c4643778
1456dcba844
15327804a39
hex1e3c39ffc

8116215804 has 144 divisors (see below), whose sum is σ = 21785924160. Its totient is φ = 2542510080.

The previous prime is 8116215799. The next prime is 8116215841. The reversal of 8116215804 is 4085126118.

8116215804 is a `hidden beast` number, since 8 + 11 + 62 + 1 + 580 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17759544 + ... + 17760000.

It is an arithmetic number, because the mean of its divisors is an integer number (151291140).

Almost surely, 28116215804 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 8116215804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892962080).

8116215804 is an abundant number, since it is smaller than the sum of its proper divisors (13669708356).

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

8116215804 is a wasteful number, since it uses less digits than its factorization.

8116215804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8116215804 is about 90090.0427572326. The cubic root of 8116215804 is about 2009.6381289584.

The spelling of 8116215804 in words is "eight billion, one hundred sixteen million, two hundred fifteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 241 267 276 356 414 457 482 534 723 801 828 914 964 1068 1371 1446 1602 1828 2047 2169 2742 2892 3204 4094 4113 4338 5484 5543 6141 8188 8226 8676 10511 11086 12282 16452 16629 18423 21022 21449 22172 24564 31533 33258 36846 40673 42044 42898 49887 63066 64347 66516 73692 81346 85796 94599 99774 110137 122019 126132 128694 162692 189198 193041 199548 220274 244038 257388 330411 366057 378396 386082 440548 488076 493327 660822 732114 772164 935479 986654 991233 1321644 1464228 1479981 1870958 1973308 1982466 2533151 2806437 2959962 3741916 3964932 4439943 5066302 5612874 5919924 7599453 8419311 8879886 9802193 10132604 11225748 15198906 16838622 17759772 19604386 22798359 29406579 30397812 33677244 39208772 45596718 58813158 88219737 91193436 117626316 176439474 225450439 352878948 450900878 676351317 901801756 1352702634 2029053951 2705405268 4058107902 8116215804