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54332723040 = 2535727155699
BaseRepresentation
bin110010100110011110…
…111000111101100000
312012020112121022021120
4302212132320331200
51342233134114130
640543214452240
73632262345231
oct624636707540
9165215538246
1054332723040
1121051450aa2
12a643b04080
13517b5a877b
1428b5d35088
15162ee3e910
hexca67b8f60

54332723040 has 96 divisors (see below), whose sum is σ = 171384595200. Its totient is φ = 14468703744.

The previous prime is 54332723033. The next prime is 54332723051. The reversal of 54332723040 is 4032723345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54332722992 and 54332723010.

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 15 ways as a sum of consecutive naturals, for example, 271111 + ... + 426809.

It is an arithmetic number, because the mean of its divisors is an integer number (1785256200).

Almost surely, 254332723040 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 54332723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85692297600).

54332723040 is an abundant number, since it is smaller than the sum of its proper divisors (117051872160).

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

54332723040 is a wasteful number, since it uses less digits than its factorization.

54332723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156444 (or 156436 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 33.

The spelling of 54332723040 in words is "fifty-four billion, three hundred thirty-two million, seven hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 11632 14540 17448 21810 23264 29080 34896 43620 58160 69792 87240 116320 155699 174480 311398 348960 467097 622796 778495 934194 1245592 1556990 1868388 2335485 2491184 3113980 3736776 4670970 4982368 6227960 7473552 9341940 12455920 14947104 18683880 24911840 37367760 74735520 113193173 226386346 339579519 452772692 565965865 679159038 905545384 1131931730 1358318076 1697897595 1811090768 2263863460 2716636152 3395795190 3622181536 4527726920 5433272304 6791590380 9055453840 10866544608 13583180760 18110907680 27166361520 54332723040