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55051000400 = 24521116377643
BaseRepresentation
bin110011010001010010…
…111001101001010000
312021002121011120120202
4303101102321221100
51400221024003100
641142353554332
73656133532304
oct632122715120
9167077146522
1055051000400
112138a944450
12a8045759a8
135264347166
1429434a9d04
1516730227d5
hexcd14b9a50

55051000400 has 120 divisors (see below), whose sum is σ = 144390695904. Its totient is φ = 20003699200.

The previous prime is 55051000391. The next prime is 55051000409. The reversal of 55051000400 is 400015055.

It is an interprime number because it is at equal distance from previous prime (55051000391) and next prime (55051000409).

It is a super-2 number, since 2×550510004002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55051000409) 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, 7198979 + ... + 7206621.

Almost surely, 255051000400 is an apocalyptic number.

55051000400 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 55051000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72195347952).

55051000400 is an abundant number, since it is smaller than the sum of its proper divisors (89339695504).

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

55051000400 is a wasteful number, since it uses less digits than its factorization.

55051000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 55051000400 its reverse (400015055), we get a palindrome (55451015455).

The spelling of 55051000400 in words is "fifty-five billion, fifty-one million, four hundred", and thus it is an aban number.

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 1637 2200 3274 4400 6548 7643 8185 13096 15286 16370 18007 26192 30572 32740 36014 38215 40925 61144 65480 72028 76430 81850 84073 90035 122288 130960 144056 152860 163700 168146 180070 191075 288112 305720 327400 336292 360140 382150 420365 450175 611440 654800 672584 720280 764300 840730 900350 1345168 1440560 1528600 1681460 1800700 2101825 3057200 3362920 3601400 4203650 6725840 7202800 8407300 12511591 16814600 25023182 33629200 50046364 62557955 100092728 125115910 137627501 200185456 250231820 275255002 312789775 500463640 550510004 625579550 688137505 1000927280 1101020008 1251159100 1376275010 2202040016 2502318200 2752550020 3440687525 5004636400 5505100040 6881375050 11010200080 13762750100 27525500200 55051000400