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54015094440 = 23325150041929
BaseRepresentation
bin110010010011100011…
…001110111010101000
312011102101221002202100
4302103203032322220
51341110331010230
640451510533400
73621354504306
oct622343167250
9164371832670
1054015094440
11209a9126a1a
12a575667260
13512a847a58
142885a93276
1516120ec660
hexc938ceea8

54015094440 has 48 divisors (see below), whose sum is σ = 175549058100. Its totient is φ = 14404025088.

The previous prime is 54015094421. The next prime is 54015094451. The reversal of 54015094440 is 4449051045.

54015094440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53936346564 + 78747876 = 232242^2 + 8874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54015094395 and 54015094404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75020605 + ... + 75021324.

Almost surely, 254015094440 is an apocalyptic number.

It is an amenable number.

54015094440 is an abundant number, since it is smaller than the sum of its proper divisors (121533963660).

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

54015094440 is a wasteful number, since it uses less digits than its factorization.

54015094440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150041946 (or 150041939 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54015094440 in words is "fifty-four billion, fifteen million, ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 150041929 300083858 450125787 600167716 750209645 900251574 1200335432 1350377361 1500419290 1800503148 2250628935 2700754722 3000838580 3601006296 4501257870 5401509444 6001677160 6751886805 9002515740 10803018888 13503773610 18005031480 27007547220 54015094440