Search a number
-
+
5925781942080 = 263571141341113
BaseRepresentation
bin101011000111011010000…
…1000001010111101000000
3202222111110221011120100020
41112032310020022331000
51234042000134121310
620334133332253440
71151060254300440
oct126166410127500
922874427146306
105925781942080
111985123470000
127b8558471280
1333ca500862b0
14166b48d00120
15a42233cc170
hex563b420af40

5925781942080 has 2240 divisors, whose sum is σ = 26323755978240. Its totient is φ = 1099078041600.

The previous prime is 5925781942061. The next prime is 5925781942097. The reversal of 5925781942080 is 802491875295.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×59257819420802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 52440548104 + ... + 52440548216.

It is an arithmetic number, because the mean of its divisors is an integer number (11751676776).

Almost surely, 25925781942080 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 5925781942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161877989120).

5925781942080 is an abundant number, since it is smaller than the sum of its proper divisors (20397974036160).

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

5925781942080 is a wasteful number, since it uses less digits than its factorization.

5925781942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 5925781942080 in words is "five trillion, nine hundred twenty-five billion, seven hundred eighty-one million, nine hundred forty-two thousand, eighty".