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554125444000 = 2553607228223
BaseRepresentation
bin10000001000001000111…
…00110100001110100000
31221222021221210011010121
420010010130310032200
533034322103202000
61102321155210024
755014513362542
oct10040434641640
91858257704117
10554125444000
111a40044046a7
128b4875a6914
134033b7c100b
141cb697dd692
15e63277bb1a
hex81047343a0

554125444000 has 96 divisors (see below), whose sum is σ = 1363735166976. Its totient is φ = 221284051200.

The previous prime is 554125443997. The next prime is 554125444003. The reversal of 554125444000 is 444521455.

It is an interprime number because it is at equal distance from previous prime (554125443997) and next prime (554125444003).

It is not an unprimeable number, because it can be changed into a prime (554125444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313889 + ... + 2542111.

It is an arithmetic number, because the mean of its divisors is an integer number (14205574656).

Almost surely, 2554125444000 is an apocalyptic number.

554125444000 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 554125444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681867583488).

554125444000 is an abundant number, since it is smaller than the sum of its proper divisors (809609722976).

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

554125444000 is a wasteful number, since it uses less digits than its factorization.

554125444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228855 (or 228837 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 554125444000 its reverse (444521455), we get a palindrome (554569965455).

The spelling of 554125444000 in words is "five hundred fifty-four billion, one hundred twenty-five million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 607 800 1000 1214 2000 2428 3035 4000 4856 6070 9712 12140 15175 19424 24280 30350 48560 60700 75875 97120 121400 151750 228223 242800 303500 456446 485600 607000 912892 1141115 1214000 1825784 2282230 2428000 3651568 4564460 5705575 7303136 9128920 11411150 18257840 22822300 28527875 36515680 45644600 57055750 91289200 114111500 138531361 182578400 228223000 277062722 456446000 554125444 692656805 912892000 1108250888 1385313610 2216501776 2770627220 3463284025 4433003552 5541254440 6926568050 11082508880 13853136100 17316420125 22165017760 27706272200 34632840250 55412544400 69265680500 110825088800 138531361000 277062722000 554125444000