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855884221739001 = 31676132
BaseRepresentation
bin1100001010011011000001001…
…1000000010110111111111001
311011020102201210000000000000000
43002212300103000112333321
51344140301341231122001
612232151441120303213
7345164410614000000
oct30246602300267771
94136381700000000
10855884221739001
11228790507352704
127bbb011a171b09
132a9756c71b1a00
141114d0358d7c37
1568e37a5824a86
hex30a6c13016ff9

855884221739001 has 357 divisors, whose sum is σ = 1621873296230511. Its totient is φ = 451455413664528.

The previous prime is 855884221738967. The next prime is 855884221739009. The reversal of 855884221739001 is 100937122488558.

The square root of 855884221739001 is 29255499.

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

855884221739001 is a `hidden beast` number, since 8 + 5 + 58 + 8 + 422 + 1 + 73 + 90 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126610091973225 + 729274129765776 = 11252115^2 + 27005076^2 .

It is not a de Polignac number, because 855884221739001 - 215 = 855884221706233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 855884221739001.

It is not an unprimeable number, because it can be changed into a prime (855884221739009) by changing a digit.

It is a polite number, since it can be written in 356 ways as a sum of consecutive naturals, for example, 65837247826071 + ... + 65837247826083.

Almost surely, 2855884221739001 is an apocalyptic number.

855884221739001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

855884221739001 is the 29255499-th square number.

855884221739001 is the 14627750-th centered octagonal number.

It is an amenable number.

855884221739001 is a deficient number, since it is larger than the sum of its proper divisors (765989074491510).

855884221739001 is an frugal number, since it uses more digits than its factorization.

855884221739001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 855884221739001 in words is "eight hundred fifty-five trillion, eight hundred eighty-four billion, two hundred twenty-one million, seven hundred thirty-nine thousand, one".