Search a number
-
+
558214003000 = 23534333713851
BaseRepresentation
bin10000001111110000010…
…01011011100100111000
31222100211220010110200201
420013320021123210320
533121210241044000
61104235011211544
755221030510613
oct10077011334470
91870756113621
10558214003000
111a5812285585
12902288a6bb4
134084087b7b4
141d03680717a
15e7c169696a
hex81f825b938

558214003000 has 128 divisors (see below), whose sum is σ = 1337341674240. Its totient is φ = 217971600000.

The previous prime is 558214002979. The next prime is 558214003021. The reversal of 558214003000 is 300412855.

It is an interprime number because it is at equal distance from previous prime (558214002979) and next prime (558214003021).

It is a self number, because there is not a number n which added to its sum of digits gives 558214003000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144951075 + ... + 144954925.

It is an arithmetic number, because the mean of its divisors is an integer number (10447981830).

Almost surely, 2558214003000 is an apocalyptic number.

558214003000 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 558214003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668670837120).

558214003000 is an abundant number, since it is smaller than the sum of its proper divisors (779127671240).

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

558214003000 is a wasteful number, since it uses less digits than its factorization.

558214003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 558214003000 its reverse (300412855), we get a palindrome (558514415855).

The spelling of 558214003000 in words is "five hundred fifty-eight billion, two hundred fourteen million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 3371 3851 4300 5375 6742 7702 8600 10750 13484 15404 16855 19255 21500 26968 30808 33710 38510 43000 67420 77020 84275 96275 134840 144953 154040 165593 168550 192550 289906 331186 337100 385100 421375 481375 579812 662372 674200 724765 770200 827965 842750 962750 1159624 1324744 1449530 1655930 1685500 1925500 2899060 3311860 3371000 3623825 3851000 4139825 5798120 6623720 7247650 8279650 12981721 14495300 16559300 18119125 20699125 25963442 28990600 33118600 36238250 41398250 51926884 64908605 72476500 82796500 103853768 129817210 144953000 165593000 259634420 324543025 519268840 558214003 649086050 1116428006 1298172100 1622715125 2232856012 2596344200 2791070015 3245430250 4465712024 5582140030 6490860500 11164280060 12981721000 13955350075 22328560120 27910700150 55821400300 69776750375 111642800600 139553500750 279107001500 558214003000