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255152989913472 = 273471931431271093
BaseRepresentation
bin111010000000111101101111…
…010100111100000110000000
31020110102101110120102022020000
4322000331233110330012000
5231420411310404212342
62302355355420120000
7104513123643435210
oct7200755724740600
91213371416368200
10255152989913472
1174332858a88312
122474a438096000
13ac4aa928b7a21
1447016834a4240
151e771ac75044c
hexe80f6f53c180

255152989913472 has 2560 divisors, whose sum is σ = 973364448460800. Its totient is φ = 64708482908160.

The previous prime is 255152989913467. The next prime is 255152989913501. The reversal of 255152989913472 is 274319989251552.

255152989913472 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 52 + 9 + 8 + 99 + 13 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 255152989913472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 233442808158 + ... + 233442809250.

It is an arithmetic number, because the mean of its divisors is an integer number (380220487680).

Almost surely, 2255152989913472 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 255152989913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486682224230400).

255152989913472 is an abundant number, since it is smaller than the sum of its proper divisors (718211458547328).

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

255152989913472 is a wasteful number, since it uses less digits than its factorization.

255152989913472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1325 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 255152989913472 in words is "two hundred fifty-five trillion, one hundred fifty-two billion, nine hundred eighty-nine million, nine hundred thirteen thousand, four hundred seventy-two".