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87326776416 = 25311241183361
BaseRepresentation
bin101000101010100010…
…1001101110001100000
322100101221201212202110
41101111011031301200
52412321123321131
6104041203515320
76211016231535
oct1212505156140
9270357655673
1087326776416
1134042763700
1214b11688b40
138309052489
144325c78d8c
152411835646
hex145514dc60

87326776416 has 144 divisors (see below), whose sum is σ = 258113553264. Its totient is φ = 25817088000.

The previous prime is 87326776409. The next prime is 87326776421. The reversal of 87326776416 is 61467762378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384576 + ... + 567936.

It is an arithmetic number, because the mean of its divisors is an integer number (1792455231).

Almost surely, 287326776416 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 87326776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129056776632).

87326776416 is an abundant number, since it is smaller than the sum of its proper divisors (170786776848).

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

87326776416 is a wasteful number, since it uses less digits than its factorization.

87326776416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183437 (or 183418 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 87326776416 in words is "eighty-seven billion, three hundred twenty-six million, seven hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 121 123 132 164 176 242 246 264 328 352 363 451 484 492 528 656 726 902 968 984 1056 1312 1353 1452 1804 1936 1968 2706 2904 3608 3872 3936 4961 5412 5808 7216 9922 10824 11616 14432 14883 19844 21648 29766 39688 43296 59532 79376 119064 158752 183361 238128 366722 476256 550083 733444 1100166 1466888 2016971 2200332 2933776 4033942 4400664 5867552 6050913 7517801 8067884 8801328 12101826 15035602 16135768 17602656 22186681 22553403 24203652 30071204 32271536 44373362 45106806 48407304 60142408 64543072 66560043 82695811 88746724 90213612 96814608 120284816 133120086 165391622 177493448 180427224 193629216 240569632 248087433 266240172 330783244 354986896 360854448 496174866 532480344 661566488 709973792 721708896 909653921 992349732 1064960688 1323132976 1819307842 1984699464 2129921376 2646265952 2728961763 3638615684 3969398928 5457923526 7277231368 7938797856 10915847052 14554462736 21831694104 29108925472 43663388208 87326776416