Search a number
-
+
590247235049472 = 211337111379347389
BaseRepresentation
bin1000011000110100111010010…
…0110001100101100000000000
32212101220002021200000201221000
42012031032210301211200000
51104331102314133040342
65451203500400332000
7235216645504053210
oct20615164461454000
92771802250021830
10590247235049472
111610864a05209a0
1256249a50914000
131c4470c99654b0
14a5a8193652240
154838a4247e44c
hex218d3a4c65800

590247235049472 has 3072 divisors, whose sum is σ = 2390270238720000. Its totient is φ = 138965625077760.

The previous prime is 590247235049401. The next prime is 590247235049503. The reversal of 590247235049472 is 274940532742095.

It is a happy number.

590247235049472 is a `hidden beast` number, since 5 + 9 + 0 + 2 + 4 + 7 + 23 + 50 + 494 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1517345077054 + ... + 1517345077442.

It is an arithmetic number, because the mean of its divisors is an integer number (778082760000).

Almost surely, 2590247235049472 is an apocalyptic number.

590247235049472 is a gapful number since it is divisible by the number (52) 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 590247235049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195135119360000).

590247235049472 is an abundant number, since it is smaller than the sum of its proper divisors (1800023003670528).

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

590247235049472 is a wasteful number, since it uses less digits than its factorization.

590247235049472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 590247235049472 in words is "five hundred ninety trillion, two hundred forty-seven billion, two hundred thirty-five million, forty-nine thousand, four hundred seventy-two".