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55895315400 = 23325237839269
BaseRepresentation
bin110100000011100111…
…101101001111001000
312100021102220020000200
4310003213231033020
51403433200043100
641402234332200
74016065225131
oct640347551710
9170242806020
1055895315400
11217834a2841
12a9bb28a060
13536a244932
1429c368cc88
1516c21eee00
hexd039ed3c8

55895315400 has 144 divisors (see below), whose sum is σ = 192788711700. Its totient is φ = 14502551040.

The previous prime is 55895315387. The next prime is 55895315447. The reversal of 55895315400 is 451359855.

55895315400 is a `hidden beast` number, since 5 + 58 + 9 + 53 + 1 + 540 + 0 = 666.

55895315400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 36723589956 + 19171725444 = 191634^2 + 138462^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353035 + ... + 486234.

Almost surely, 255895315400 is an apocalyptic number.

55895315400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55895315400 is an abundant number, since it is smaller than the sum of its proper divisors (136893396300).

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

55895315400 is a wasteful number, since it uses less digits than its factorization.

55895315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839328 (or 839316 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 55895315400 in words is "fifty-five billion, eight hundred ninety-five million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 839269 1678538 2517807 3357076 4196345 5035614 6714152 7553421 8392690 10071228 12589035 15106842 16785380 20142456 20981725 25178070 30213684 31052953 33570760 37767105 41963450 50356140 60427368 62105906 62945175 75534210 83926900 93158859 100712280 124211812 125890350 151068420 155264765 167853800 186317718 188835525 248423624 251780700 279476577 302136840 310529530 372635436 377671050 465794295 503561400 558953154 621059060 745270872 755342100 776323825 931588590 1117906308 1242118120 1397382885 1510684200 1552647650 1863177180 2235812616 2328971475 2794765770 3105295300 3726354360 4657942950 5589531540 6210590600 6986914425 9315885900 11179063080 13973828850 18631771800 27947657700 55895315400