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54887353960 = 23517221792
BaseRepresentation
bin110011000111100010…
…101000111001101000
312020200012020110212111
4303013202220321220
51344402130311320
641114230252104
73652105545055
oct630742507150
9166605213774
1054887353960
112130653145a
12a7797b7034
13523947aa4a
14292986c02c
151663999a5a
hexcc78a8e68

54887353960 has 72 divisors (see below), whose sum is σ = 131248606230. Its totient is φ = 20653991424.

The previous prime is 54887353949. The next prime is 54887353987. The reversal of 54887353960 is 6935378845.

It can be written as a sum of positive squares in 3 ways, for example, as 53348988676 + 1538365284 = 230974^2 + 39222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54887353895 and 54887353904.

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 17 ways as a sum of consecutive naturals, for example, 25188151 + ... + 25190329.

Almost surely, 254887353960 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 54887353960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65624303115).

54887353960 is an abundant number, since it is smaller than the sum of its proper divisors (76361252270).

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

54887353960 is an equidigital number, since it uses as much as digits as its factorization.

54887353960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 54887353960 in words is "fifty-four billion, eight hundred eighty-seven million, three hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2179 2312 2890 4358 5780 8716 10895 11560 17432 21790 37043 43580 74086 87160 148172 185215 296344 370430 629731 740860 1259462 1481720 2518924 3148655 4748041 5037848 6297310 9496082 12594620 18992164 23740205 25189240 37984328 47480410 80716697 94960820 161433394 189921640 322866788 403583485 645733576 807166970 1372183849 1614333940 2744367698 3228667880 5488735396 6860919245 10977470792 13721838490 27443676980 54887353960