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255508204421376 = 283217219210312
BaseRepresentation
bin111010000110001000100011…
…110000110000000100000000
31020111200100100002011221200100
4322012020203300300010000
5231442221300312441001
62303230503151522400
7104550600332101344
oct7206104360600400
91214610302157610
10255508204421376
117445a46a346625
12247a7250829400
13ac754218ab88a
14471493d6b5624
151e8154c47d586
hexe86223c30100

255508204421376 has 729 divisors, whose sum is σ = 826735095901533. Its totient is φ = 75866861813760.

The previous prime is 255508204421347. The next prime is 255508204421383. The reversal of 255508204421376 is 673124402805552.

The square root of 255508204421376 is 15984624.

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

255508204421376 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 0 + 8 + 204 + 421 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198925072646400 + 56583131774976 = 14104080^2 + 7522176^2 .

It is a super-2 number, since 2×2555082044213762 (a number of 30 digits) contains 22 as substring.

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, 247825609981 + ... + 247825611011.

Almost surely, 2255508204421376 is an apocalyptic number.

255508204421376 is the 15984624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255508204421376

255508204421376 is an abundant number, since it is smaller than the sum of its proper divisors (571226891480157).

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

255508204421376 is an equidigital number, since it uses as much as digits as its factorization.

255508204421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 255508204421376 in words is "two hundred fifty-five trillion, five hundred eight billion, two hundred four million, four hundred twenty-one thousand, three hundred seventy-six".