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54553311040 = 265797213901
BaseRepresentation
bin110010110011101000…
…010111011101000000
312012210220200100010111
4302303220113131000
51343211121423130
641021134441104
73640611331024
oct626350273500
9165726610114
1054553311040
1121154a16028
12a6a5963194
1351b51c0a07
1428d7356384
1516444b402a
hexcb3a17740

54553311040 has 56 divisors (see below), whose sum is σ = 130068672552. Its totient is φ = 21793843200.

The previous prime is 54553311031. The next prime is 54553311061. The reversal of 54553311040 is 4011335545.

It can be written as a sum of positive squares in 4 ways, for example, as 9521075776 + 45032235264 = 97576^2 + 212208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54553310993 and 54553311011.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 148090 + ... + 361990.

It is an arithmetic number, because the mean of its divisors is an integer number (2322654867).

Almost surely, 254553311040 is an apocalyptic number.

It is an amenable number.

54553311040 is an abundant number, since it is smaller than the sum of its proper divisors (75515361512).

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

54553311040 is a wasteful number, since it uses less digits than its factorization.

54553311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214715 (or 214705 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 54553311040 its reverse (4011335545), we get a palindrome (58564646585).

The spelling of 54553311040 in words is "fifty-four billion, five hundred fifty-three million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 797 1594 3188 3985 6376 7970 12752 15940 25504 31880 51008 63760 127520 213901 255040 427802 855604 1069505 1711208 2139010 3422416 4278020 6844832 8556040 13689664 17112080 34224160 68448320 170479097 340958194 681916388 852395485 1363832776 1704790970 2727665552 3409581940 5455331104 6819163880 10910662208 13638327760 27276655520 54553311040