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80835587856 = 2432192292432
BaseRepresentation
bin100101101001000101…
…1010010111100010000
321201122120102100001100
41023102023102330100
52311022402302411
6101045123104400
75561116105542
oct1132213227420
9251576370040
1080835587856
1131311644661
12137bb812100
1378132981ba
143cabb29692
152181a25456
hex12d22d2f10

80835587856 has 405 divisors, whose sum is σ = 253162159029. Its totient is φ = 24073604352.

The previous prime is 80835587839. The next prime is 80835587867. The reversal of 80835587856 is 65878553808.

The square root of 80835587856 is 284316.

It is a perfect power (a square), and thus also a powerful number.

80835587856 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 558 + 78 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42388221456 + 38447366400 = 205884^2 + 196080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80835587793 and 80835587802.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1879897371 + ... + 1879897413.

Almost surely, 280835587856 is an apocalyptic number.

80835587856 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

80835587856 is the 284316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80835587856

80835587856 is an abundant number, since it is smaller than the sum of its proper divisors (172326571173).

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

80835587856 is a wasteful number, since it uses less digits than its factorization.

80835587856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 80835587856 in words is "eighty billion, eight hundred thirty-five million, five hundred eighty-seven thousand, eight hundred fifty-six".