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55514232400 = 24521113219551
BaseRepresentation
bin110011101100111001…
…111111011001010000
312022021212211012102111
4303230321333121100
51402143120414100
641300342355104
74003460122024
oct635471773120
9168255735374
1055514232400
11215a8378510
12a91372ba94
1353092c7833
142988c10384
15169da266ba
hexcece7f650

55514232400 has 120 divisors (see below), whose sum is σ = 145623143808. Its totient is φ = 20169600000.

The previous prime is 55514232353. The next prime is 55514232439. The reversal of 55514232400 is 423241555.

It is a super-2 number, since 2×555142324002 (a number of 22 digits) contains 22 as substring.

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, 5807625 + ... + 5817175.

Almost surely, 255514232400 is an apocalyptic number.

55514232400 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 55514232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72811571904).

55514232400 is an abundant number, since it is smaller than the sum of its proper divisors (90108911408).

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

55514232400 is a wasteful number, since it uses less digits than its factorization.

55514232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 55514232400 its reverse (423241555), we get a palindrome (55937473955).

The spelling of 55514232400 in words is "fifty-five billion, five hundred fourteen million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1321 2200 2642 4400 5284 6605 9551 10568 13210 14531 19102 21136 26420 29062 33025 38204 47755 52840 58124 66050 72655 76408 95510 105061 105680 116248 132100 145310 152816 191020 210122 232496 238775 264200 290620 363275 382040 420244 477550 525305 528400 581240 726550 764080 840488 955100 1050610 1162480 1453100 1680976 1910200 2101220 2626525 2906200 3820400 4202440 5253050 5812400 8404880 10506100 12616871 21012200 25233742 42024400 50467484 63084355 100934968 126168710 138785581 201869936 252337420 277571162 315421775 504674840 555142324 630843550 693927905 1009349680 1110284648 1261687100 1387855810 2220569296 2523374200 2775711620 3469639525 5046748400 5551423240 6939279050 11102846480 13878558100 27757116200 55514232400