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554013233144 = 23779621720143
BaseRepresentation
bin10000000111111011100…
…00110000111111111000
31221222000010122020202222
420003331300300333320
533034104341430034
61102302110143212
755011651532310
oct10037560607770
91858003566688
10554013233144
111a3a57032a58
128b455ab1b08
1340321493567
141cb58950440
15e6279b412e
hex80fdc30ff8

554013233144 has 64 divisors (see below), whose sum is σ = 1202451763200. Its totient is φ = 234379401984.

The previous prime is 554013233129. The next prime is 554013233167. The reversal of 554013233144 is 441332310455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27493937 + ... + 27514079.

It is an arithmetic number, because the mean of its divisors is an integer number (18788308800).

Almost surely, 2554013233144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554013233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601225881600).

554013233144 is an abundant number, since it is smaller than the sum of its proper divisors (648438530056).

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

554013233144 is a wasteful number, since it uses less digits than its factorization.

554013233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26452 (or 26448 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 554013233144 its reverse (441332310455), we get a palindrome (995345543599).

The spelling of 554013233144 in words is "five hundred fifty-four billion, thirteen million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424 6217 12434 20143 24868 40286 43519 49736 80572 87038 141001 161144 174076 282002 348152 491143 564004 982286 1128008 1591297 1964572 3182594 3438001 3929144 6365188 6876002 11139079 12730376 13752004 22278158 27504008 44556316 89112632 125229031 250458062 500916124 876603217 1001832248 1753206434 3506412868 7012825736 9893093449 19786186898 39572373796 69251654143 79144747592 138503308286 277006616572 554013233144