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55312014400 = 265234570009
BaseRepresentation
bin110011100000110110…
…100101110001000000
312021202210022110110221
4303200312211301000
51401234333430100
641224320232424
73665453236126
oct634066456100
9167683273427
1055312014400
11215042100a5
12a877a6b714
1352a6444b06
14296a011916
15168add001a
hexce0da5c40

55312014400 has 42 divisors (see below), whose sum is σ = 136102129370. Its totient is φ = 22124805120.

The previous prime is 55312014349. The next prime is 55312014451. The reversal of 55312014400 is 441021355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55312014349) and next prime (55312014451).

It can be written as a sum of positive squares in 3 ways, for example, as 5568741376 + 49743273024 = 74624^2 + 223032^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17283405 + ... + 17286604.

Almost surely, 255312014400 is an apocalyptic number.

55312014400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55312014400 is an abundant number, since it is smaller than the sum of its proper divisors (80790114970).

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

55312014400 is a wasteful number, since it uses less digits than its factorization.

55312014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34570031 (or 34570016 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 55312014400 its reverse (441021355), we get a palindrome (55753035755).

The spelling of 55312014400 in words is "fifty-five billion, three hundred twelve million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 34570009 69140018 138280036 172850045 276560072 345700090 553120144 691400180 864250225 1106240288 1382800360 1728500450 2212480576 2765600720 3457000900 5531201440 6914001800 11062402880 13828003600 27656007200 55312014400