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55414431125200 = 2452723860472533
BaseRepresentation
bin11001001100110001011010…
…11110111000111011010000
321021012120022222112212201101
430212120231132320323100
524230402223332001300
6313505012131114144
714446363155550510
oct1446305536707320
9237176288485641
1055414431125200
111672514579a9a4
12626b830a42954
1324bc734b52bc4
14d981039b3840
156616cab6db6a
hex32662d7b8ed0

55414431125200 has 120 divisors (see below), whose sum is σ = 158767508193408. Its totient is φ = 18173179875840.

The previous prime is 55414431125189. The next prime is 55414431125201. The reversal of 55414431125200 is 252113441455.

It is a self number, because there is not a number n which added to its sum of digits gives 55414431125200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55414431125201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430171867 + ... + 430300666.

Almost surely, 255414431125200 is an apocalyptic number.

55414431125200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55414431125200 is an abundant number, since it is smaller than the sum of its proper divisors (103353077068208).

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

55414431125200 is a wasteful number, since it uses less digits than its factorization.

55414431125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860472581 (or 860472570 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 55414431125200 its reverse (252113441455), we get a palindrome (55666544566655).

The spelling of 55414431125200 in words is "fifty-five trillion, four hundred fourteen billion, four hundred thirty-one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 860472533 1720945066 3441890132 4302362665 6023307731 6883780264 8604725330 12046615462 13767560528 17209450660 19790868259 21511813325 24093230924 30116538655 34418901320 39581736518 43023626650 48186461848 60233077310 68837802640 79163473036 86047253300 96372923696 98954341295 120466154620 138536077813 150582693275 158326946072 172094506600 197908682590 240932309240 277072155626 301165386550 316653892144 344189013200 395817365180 481864618480 494771706475 554144311252 602330773100 692680389065 791634730360 989543412950 1108288622504 1204661546200 1385360778130 1583269460720 1979086825900 2216577245008 2409323092400 2770721556260 3463401945325 3958173651800 5541443112520 6926803890650 7916347303600 11082886225040 13853607781300 27707215562600 55414431125200