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54587600096 = 2519435873557
BaseRepresentation
bin110010110101101011…
…001010110011100000
312012220022012101212112
4302311223022303200
51343243411200341
641024401414452
73641505642101
oct626553126340
9165808171775
1054587600096
1121172305997
12a6b533a428
1351bc337cb3
1428dbb203a8
1516474d8aeb
hexcb5acace0

54587600096 has 96 divisors (see below), whose sum is σ = 115986245760. Its totient is φ = 25205838336.

The previous prime is 54587600087. The next prime is 54587600101. The reversal of 54587600096 is 69000678545.

54587600096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15344750 + ... + 15348306.

It is an arithmetic number, because the mean of its divisors is an integer number (1208190060).

Almost surely, 254587600096 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 54587600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57993122880).

54587600096 is an abundant number, since it is smaller than the sum of its proper divisors (61398645664).

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

54587600096 is a wasteful number, since it uses less digits than its factorization.

54587600096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 54587600096 in words is "fifty-four billion, five hundred eighty-seven million, six hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 304 344 587 608 688 817 1174 1376 1634 2348 3268 3557 4696 6536 7114 9392 11153 13072 14228 18784 22306 25241 26144 28456 44612 50482 56912 67583 89224 100964 113824 135166 152951 178448 201928 270332 305902 356896 403856 479579 540664 611804 807712 959158 1081328 1223608 1918316 2087959 2162656 2447216 2906069 3836632 4175918 4894432 5812138 7673264 8351836 11624276 15346528 16703672 23248552 33407344 39671221 46497104 66814688 79342442 89782237 92994208 158684884 179564474 317369768 359128948 634739536 718257896 1269479072 1436515792 1705862503 2873031584 3411725006 6823450012 13646900024 27293800048 54587600096