Search a number
-
+
258412171480 = 23573809109391
BaseRepresentation
bin1111000010101010010…
…0001101000011011000
3220201000012002102222221
43300222210031003120
513213212003441410
6314413553353424
724445460134021
oct3605244150330
9821005072887
10258412171480
119a656a30191
12420b9868874
131b4a2b15658
14c715b2bc48
156ac65ce4da
hex3c2a90d0d8

258412171480 has 64 divisors (see below), whose sum is σ = 590126083200. Its totient is φ = 101821962240.

The previous prime is 258412171463. The next prime is 258412171481. The reversal of 258412171480 is 84171214852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258412171481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307585 + ... + 2416975.

It is an arithmetic number, because the mean of its divisors is an integer number (9220720050).

Almost surely, 2258412171480 is an apocalyptic number.

258412171480 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 258412171480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295063041600).

258412171480 is an abundant number, since it is smaller than the sum of its proper divisors (331713911720).

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

258412171480 is a wasteful number, since it uses less digits than its factorization.

258412171480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110284 (or 110280 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 258412171480 in words is "two hundred fifty-eight billion, four hundred twelve million, one hundred seventy-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 809 1460 1618 2920 3236 4045 6472 8090 16180 32360 59057 109391 118114 218782 236228 295285 437564 472456 546955 590570 875128 1093910 1181140 2187820 2362280 4375640 7985543 15971086 31942172 39927715 63884344 79855430 88497319 159710860 176994638 319421720 353989276 442486595 707978552 884973190 1769946380 3539892760 6460304287 12920608574 25841217148 32301521435 51682434296 64603042870 129206085740 258412171480