Search a number
-
+
2594459063040 = 2835133143127307
BaseRepresentation
bin100101110000010001110…
…011111001001100000000
3100012000202022110010212220
4211300101303321030000
5320001423010004130
65303513353451040
7355305054111645
oct45602163711400
910160668403786
102594459063040
1191033855a439
1235a9a7110a80
1315a86c276a50
148d802ca1dcc
154774b691410
hex25c11cf9300

2594459063040 has 1152 divisors, whose sum is σ = 9530671890432. Its totient is φ = 596957921280.

The previous prime is 2594459062969. The next prime is 2594459063069. The reversal of 2594459063040 is 403609544952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8451006567 + ... + 8451006873.

Almost surely, 22594459063040 is an apocalyptic number.

2594459063040 is a gapful number since it is divisible by the number (20) 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 2594459063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765335945216).

2594459063040 is an abundant number, since it is smaller than the sum of its proper divisors (6936212827392).

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

2594459063040 is a wasteful number, since it uses less digits than its factorization.

2594459063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 2594459063040 in words is "two trillion, five hundred ninety-four billion, four hundred fifty-nine million, sixty-three thousand, forty".