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55500050400 = 25352154914929
BaseRepresentation
bin110011101100000011…
…111000111111100000
312022020220010200101020
4303230003320333200
51402131003103100
641255114405440
74003225434054
oct635403707740
9168226120336
1055500050400
11215a0371353
12a90aa30880
1353063a0612
142986d9bc64
15169c6745a0
hexcec0f8fe0

55500050400 has 144 divisors (see below), whose sum is σ = 180781398000. Its totient is φ = 14789468160.

The previous prime is 55500050393. The next prime is 55500050401. The reversal of 55500050400 is 405000555.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55500050401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3710136 + ... + 3725064.

It is an arithmetic number, because the mean of its divisors is an integer number (1255426375).

Almost surely, 255500050400 is an apocalyptic number.

55500050400 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 55500050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90390699000).

55500050400 is an abundant number, since it is smaller than the sum of its proper divisors (125281347600).

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

55500050400 is a wasteful number, since it uses less digits than its factorization.

55500050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16501 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

Adding to 55500050400 its reverse (405000555), we get a palindrome (55905050955).

The spelling of 55500050400 in words is "fifty-five billion, five hundred million, fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1549 2400 3098 4647 6196 7745 9294 12392 14929 15490 18588 23235 24784 29858 30980 37176 38725 44787 46470 49568 59716 61960 74352 74645 77450 89574 92940 116175 119432 123920 148704 149290 154900 179148 185880 223935 232350 238864 247840 298580 309800 358296 371760 373225 447870 464700 477728 597160 619600 716592 743520 746450 895740 929400 1119675 1194320 1239200 1433184 1492900 1791480 1858800 2239350 2388640 2985800 3582960 3717600 4478700 5971600 7165920 8957400 11943200 17914800 23125021 35829600 46250042 69375063 92500084 115625105 138750126 185000168 231250210 277500252 346875315 370000336 462500420 555000504 578125525 693750630 740000672 925000840 1110001008 1156251050 1387501260 1734376575 1850001680 2220002016 2312502100 2775002520 3468753150 3700003360 4625004200 5550005040 6937506300 9250008400 11100010080 13875012600 18500016800 27750025200 55500050400