Search a number
-
+
68728748414200 = 23527476591030067
BaseRepresentation
bin11111010000010001010001…
…01000101001010011111000
3100000100101220122111001222221
433220020220220221103320
533002022434043223300
6402101315014053424
720322326312321110
oct1750105050512370
9300311818431887
1068728748414200
111a9987757a8036
12786011294a274
132c471298bb054
1412d86bc408040
157e2bd48be31a
hex3e8228a294f8

68728748414200 has 96 divisors (see below), whose sum is σ = 182626112073600. Its totient is φ = 23563625005440.

The previous prime is 68728748414189. The next prime is 68728748414219. The reversal of 68728748414200 is 241484782786.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66207567 + ... + 67237633.

It is an arithmetic number, because the mean of its divisors is an integer number (1902355334100).

Almost surely, 268728748414200 is an apocalyptic number.

It is an amenable number.

68728748414200 is an abundant number, since it is smaller than the sum of its proper divisors (113897363659400).

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

68728748414200 is a wasteful number, since it uses less digits than its factorization.

68728748414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077749 (or 1077740 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 61.

The spelling of 68728748414200 in words is "sixty-eight trillion, seven hundred twenty-eight billion, seven hundred forty-eight million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 47659 95318 190636 238295 333613 381272 476590 667226 953180 1030067 1191475 1334452 1668065 1906360 2060134 2382950 2668904 3336130 4120268 4765900 5150335 6672260 7210469 8240536 8340325 9531800 10300670 13344520 14420938 16680650 20601340 25751675 28841876 33361300 36052345 41202680 51503350 57683752 66722600 72104690 103006700 144209380 180261725 206013400 288418760 360523450 721046900 1442093800 49091963153 98183926306 196367852612 245459815765 343643742071 392735705224 490919631530 687287484142 981839263060 1227299078825 1374574968284 1718218710355 1963678526120 2454598157650 2749149936568 3436437420710 4909196315300 6872874841420 8591093551775 9818392630600 13745749682840 17182187103550 34364374207100 68728748414200