Search a number
-
+
5058057580000 = 2554733464423
BaseRepresentation
bin100100110011010101110…
…1110011010110111100000
3122220112201201200202211221
41021212223232122313200
51130332400220030000
614431350051544424
71031301245022565
oct111465356326740
918815651622757
105058057580000
111680123705737
126983512bb114
132a8c852876b9
14136b5028c86c
158b88968761a
hex499abb9ade0

5058057580000 has 120 divisors (see below), whose sum is σ = 12614044001328. Its totient is φ = 1995507072000.

The previous prime is 5058057579973. The next prime is 5058057580019. The reversal of 5058057580000 is 857508505.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272212 + ... + 3192211.

Almost surely, 25058057580000 is an apocalyptic number.

5058057580000 is a gapful number since it is divisible by the number (50) 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 5058057580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307022000664).

5058057580000 is an abundant number, since it is smaller than the sum of its proper divisors (7555986421328).

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

5058057580000 is an equidigital number, since it uses as much as digits as its factorization.

5058057580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464526 (or 3464503 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 43.

The spelling of 5058057580000 in words is "five trillion, fifty-eight billion, fifty-seven million, five hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 9125 10000 11680 14600 18250 20000 29200 36500 45625 58400 73000 91250 146000 182500 292000 365000 730000 1460000 3464423 6928846 13857692 17322115 27715384 34644230 55430768 69288460 86610575 110861536 138576920 173221150 252902879 277153840 346442300 433052875 505805758 554307680 692884600 866105750 1011611516 1264514395 1385769200 1732211500 2023223032 2165264375 2529028790 2771538400 3464423000 4046446064 4330528750 5058057580 6322571975 6928846000 8092892128 8661057500 10116115160 12645143950 13857692000 17322115000 20232230320 25290287900 31612859875 34644230000 40464460640 50580575800 63225719750 69288460000 101161151600 126451439500 158064299375 202322303200 252902879000 316128598750 505805758000 632257197500 1011611516000 1264514395000 2529028790000 5058057580000