Search a number
-
+
255411247104 = 21132131956101
BaseRepresentation
bin1110110111011110110…
…0100101100000000000
3220102021001022200122200
43231313230211200000
513141040234401404
6313200113233200
724311220531246
oct3556754454000
9812231280580
10255411247104
1199356a992a2
1241600862800
131b115199460
14c50d364796
15699ce06839
hex3b77b25800

255411247104 has 288 divisors, whose sum is σ = 836245191600. Its totient is φ = 74450534400.

The previous prime is 255411247087. The next prime is 255411247127. The reversal of 255411247104 is 401742114552.

255411247104 is a `hidden beast` number, since 2 + 5 + 541 + 1 + 2 + 4 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4524654 + ... + 4580754.

Almost surely, 2255411247104 is an apocalyptic number.

255411247104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255411247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418122595800).

255411247104 is an abundant number, since it is smaller than the sum of its proper divisors (580833944496).

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

255411247104 is a wasteful number, since it uses less digits than its factorization.

255411247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56161 (or 56138 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 255411247104 in words is "two hundred fifty-five billion, four hundred eleven million, two hundred forty-seven thousand, one hundred four".