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54437553040 = 24513131399571
BaseRepresentation
bin110010101100101110…
…110010001110010000
312012111211212020000011
4302230232302032100
51342442003144130
641001441404304
73635004365113
oct625456621620
9165454766004
1054437553040
11210a5641362
12a673039694
135197220860
1428c5c2257a
15163924a52a
hexcacbb2390

54437553040 has 80 divisors (see below), whose sum is σ = 137344084416. Its totient is φ = 19946534400.

The previous prime is 54437553031. The next prime is 54437553061. The reversal of 54437553040 is 4035573445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 54437552984 and 54437553002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63546 + ... + 336025.

Almost surely, 254437553040 is an apocalyptic number.

It is an amenable number.

54437553040 is an abundant number, since it is smaller than the sum of its proper divisors (82906531376).

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

54437553040 is a wasteful number, since it uses less digits than its factorization.

54437553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399728 (or 399722 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 40.

The spelling of 54437553040 in words is "fifty-four billion, four hundred thirty-seven million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 520 524 655 1040 1048 1310 1703 2096 2620 3406 5240 6812 8515 10480 13624 17030 27248 34060 68120 136240 399571 799142 1598284 1997855 3196568 3995710 5194423 6393136 7991420 10388846 15982840 20777692 25972115 31965680 41555384 51944230 52343801 83110768 103888460 104687602 207776920 209375204 261719005 415553840 418750408 523438010 680469413 837500816 1046876020 1360938826 2093752040 2721877652 3402347065 4187504080 5443755304 6804694130 10887510608 13609388260 27218776520 54437553040