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553315225271400 = 233252307397347373
BaseRepresentation
bin111110111001111001011110…
…1011100110111110001101000
32200120010102022101222010201100
41331303302331130313301220
51040011004040132141100
65240445301054121400
7224355464044425024
oct17563627534676150
92616112271863640
10553315225271400
1115033773a849659
12520842454b0260
131a99852bb56397
149a8c857ba3384
1543e7eeae22400
hex1f73cbd737c68

553315225271400 has 72 divisors (see below), whose sum is σ = 1858216964875830. Its totient is φ = 147550726738560.

The previous prime is 553315225271317. The next prime is 553315225271401. The reversal of 553315225271400 is 4172522513355.

553315225271400 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 1 + 522 + 52 + 71 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 295660528027524 + 257654697243876 = 17194782^2 + 16051626^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (553315225271401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153698671887 + ... + 153698675486.

Almost surely, 2553315225271400 is an apocalyptic number.

553315225271400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

553315225271400 is an abundant number, since it is smaller than the sum of its proper divisors (1304901739604430).

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

553315225271400 is a wasteful number, since it uses less digits than its factorization.

553315225271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307397347395 (or 307397347383 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

Adding to 553315225271400 its reverse (4172522513355), we get a palindrome (557487747784755).

The spelling of 553315225271400 in words is "five hundred fifty-three trillion, three hundred fifteen billion, two hundred twenty-five million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 307397347373 614794694746 922192042119 1229589389492 1536986736865 1844384084238 2459178778984 2766576126357 3073973473730 3688768168476 4610960210595 5533152252714 6147946947460 7377536336952 7684933684325 9221920421190 11066304505428 12295893894920 13832880631785 15369867368650 18443840842380 22132609010856 23054801052975 27665761263570 30739734737300 36887681684760 46109602105950 55331522527140 61479469474600 69164403158925 92219204211900 110663045054280 138328806317850 184438408423800 276657612635700 553315225271400