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54873205349160 = 2335112331539910799
BaseRepresentation
bin11000111101000001010011…
…11010011001101100101000
321012021211100000202202100210
430132200221322121230220
524143020311032133120
6312412222540301120
714362313116425222
oct1436405172315450
9235254300682323
1054873205349160
1116536660972810
1261a29655417a0
1324806a0a04c13
14d79c3d4a3412
156525a0b25ce0
hex31e829e99b28

54873205349160 has 512 divisors, whose sum is σ = 193491763200000. Its totient is φ = 12310341964800.

The previous prime is 54873205349119. The next prime is 54873205349173. The reversal of 54873205349160 is 6194350237845.

It is a super-2 number, since 2×548732053491602 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54873205349160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5081317441 + ... + 5081328239.

It is an arithmetic number, because the mean of its divisors is an integer number (377913600000).

It is a 1-persistent number, because it is pandigital, but 2⋅54873205349160 = 109746410698320 is not.

Almost surely, 254873205349160 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 54873205349160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96745881600000).

54873205349160 is an abundant number, since it is smaller than the sum of its proper divisors (138618557850840).

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

54873205349160 is a wasteful number, since it uses less digits than its factorization.

54873205349160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 54873205349160 in words is "fifty-four trillion, eight hundred seventy-three billion, two hundred five million, three hundred forty-nine thousand, one hundred sixty".