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54525443440 = 2451324032947
BaseRepresentation
bin110010110001111110…
…000011110101110000
312012201222020111222011
4302301332003311300
51343132003142230
641014301252304
73640122423256
oct626176036560
9165658214864
1054525443440
1121140211756
12a698564094
1351ac4b4500
1428d37805d6
151641d0be2a
hexcb1f83d70

54525443440 has 60 divisors (see below), whose sum is σ = 137273484024. Its totient is φ = 20132466432.

The previous prime is 54525443437. The next prime is 54525443491. The reversal of 54525443440 is 4434452545.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 = 54525443393 and 54525443402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2002954 + ... + 2029993.

Almost surely, 254525443440 is an apocalyptic number.

It is an amenable number.

54525443440 is an abundant number, since it is smaller than the sum of its proper divisors (82748040584).

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

54525443440 is a wasteful number, since it uses less digits than its factorization.

54525443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032986 (or 4032967 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 54525443440 its reverse (4434452545), we get a palindrome (58959895985).

The spelling of 54525443440 in words is "fifty-four billion, five hundred twenty-five million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 4032947 8065894 16131788 20164735 32263576 40329470 52428311 64527152 80658940 104856622 161317880 209713244 262141555 322635760 419426488 524283110 681568043 838852976 1048566220 1363136086 2097132440 2726272172 3407840215 4194264880 5452544344 6815680430 10905088688 13631360860 27262721720 54525443440