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55041514400 = 2552220331231
BaseRepresentation
bin110011010000101110…
…101101101110100000
312021001221022122020102
4303100232231232200
51400211111430100
641141414401532
73655660103315
oct632056555640
9167057278212
1055041514400
1121385555484
12a8013602a8
1352623a5542
14294211ad0c
15167229bcd5
hexcd0badba0

55041514400 has 72 divisors (see below), whose sum is σ = 134435395584. Its totient is φ = 22005907200.

The previous prime is 55041514393. The next prime is 55041514403. The reversal of 55041514400 is 441514055.

55041514400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55041514403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1746785 + ... + 1778015.

It is an arithmetic number, because the mean of its divisors is an integer number (1867158272).

Almost surely, 255041514400 is an apocalyptic number.

55041514400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55041514400 is an abundant number, since it is smaller than the sum of its proper divisors (79393881184).

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

55041514400 is a wasteful number, since it uses less digits than its factorization.

55041514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33454 (or 33441 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 55041514400 in words is "fifty-five billion, forty-one million, five hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2203 4406 8812 11015 17624 22030 31231 35248 44060 55075 62462 70496 88120 110150 124924 156155 176240 220300 249848 312310 352480 440600 499696 624620 780775 881200 999392 1249240 1561550 1762400 2498480 3123100 4996960 6246200 12492400 24984800 68801893 137603786 275207572 344009465 550415144 688018930 1100830288 1376037860 1720047325 2201660576 2752075720 3440094650 5504151440 6880189300 11008302880 13760378600 27520757200 55041514400