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54016755400 = 23521715887281
BaseRepresentation
bin110010010011101001…
…100100011011001000
312011102112001111011101
4302103221210123020
51341111242133100
640452010311144
73621404562616
oct622351443310
9164375044141
1054016755400
11209aa060913
12a5761284b4
13512aca9a7a
142885da66b6
15161232986a
hexc93a646c8

54016755400 has 48 divisors (see below), whose sum is σ = 132976550340. Its totient is φ = 20335718400.

The previous prime is 54016755379. The next prime is 54016755427. The reversal of 54016755400 is 455761045.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45514808964 + 8501946436 = 213342^2 + 92206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54016755400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7940241 + ... + 7947040.

Almost surely, 254016755400 is an apocalyptic number.

54016755400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54016755400 is an abundant number, since it is smaller than the sum of its proper divisors (78959794940).

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

54016755400 is a wasteful number, since it uses less digits than its factorization.

54016755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15887314 (or 15887305 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 54016755400 in words is "fifty-four billion, sixteen million, seven hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 15887281 31774562 63549124 79436405 127098248 158872810 270083777 317745620 397182025 540167554 635491240 794364050 1080335108 1350418885 1588728100 2160670216 2700837770 3177456200 5401675540 6752094425 10803351080 13504188850 27008377700 54016755400