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54515256144 = 2432349379761
BaseRepresentation
bin110010110001010111…
…001100101101010000
312012201021001221121220
4302301113030231100
51343121401144034
641013255045040
73636640013556
oct626127145520
9165637057556
1054515256144
11211354938a8
12a695070780
1351aa35861b
1428d228bbd6
151640e98749
hexcb15ccb50

54515256144 has 40 divisors (see below), whose sum is σ = 146954171712. Its totient is φ = 17381675520.

The previous prime is 54515256143. The next prime is 54515256157. The reversal of 54515256144 is 44165251545.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54515256096 and 54515256105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54515256143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24688777 + ... + 24690984.

Almost surely, 254515256144 is an apocalyptic number.

It is an amenable number.

54515256144 is an abundant number, since it is smaller than the sum of its proper divisors (92438915568).

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

54515256144 is a wasteful number, since it uses less digits than its factorization.

54515256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49379795 (or 49379789 counting only the distinct ones).

The product of its digits is 480000, while the sum is 42.

The spelling of 54515256144 in words is "fifty-four billion, five hundred fifteen million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 49379761 98759522 148139283 197519044 296278566 395038088 592557132 790076176 1135734503 1185114264 2271469006 2370228528 3407203509 4542938012 6814407018 9085876024 13628814036 18171752048 27257628072 54515256144