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54443258016 = 253781016753
BaseRepresentation
bin110010101101000100…
…100011000010100000
312012112020121001202120
4302231010203002200
51342444433224031
641002203544240
73635104025520
oct625504430240
9165466531676
1054443258016
11210a8888614
12a674b2b080
13519846a494
1428c68a9680
1516399c5a96
hexcad1230a0

54443258016 has 48 divisors (see below), whose sum is σ = 163329776064. Its totient is φ = 15555216384.

The previous prime is 54443258003. The next prime is 54443258039. The reversal of 54443258016 is 61085234445.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40507705 + ... + 40509048.

It is an arithmetic number, because the mean of its divisors is an integer number (3402703668).

Almost surely, 254443258016 is an apocalyptic number.

54443258016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54443258016 is an abundant number, since it is smaller than the sum of its proper divisors (108886518048).

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

54443258016 is a wasteful number, since it uses less digits than its factorization.

54443258016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81016773 (or 81016765 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 54443258016 in words is "fifty-four billion, four hundred forty-three million, two hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 81016753 162033506 243050259 324067012 486100518 567117271 648134024 972201036 1134234542 1296268048 1701351813 1944402072 2268469084 2592536096 3402703626 3888804144 4536938168 6805407252 7777608288 9073876336 13610814504 18147752672 27221629008 54443258016