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48784829058 = 232719149313649
BaseRepresentation
bin101101011011110011…
…010110101010000010
311122220220021002110200
4231123303112222002
51244402404012213
634224512110030
73344635130220
oct553363265202
9148826232420
1048784829058
1119764845149
129555b35316
1347a6096174
14250b1b1b10
151407d5e273
hexb5bcd6a82

48784829058 has 96 divisors (see below), whose sum is σ = 127252944000. Its totient is φ = 13195104768.

The previous prime is 48784829033. The next prime is 48784829101. The reversal of 48784829058 is 85092848784.

48784829058 is a `hidden beast` number, since 487 + 84 + 8 + 29 + 0 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48784828986 and 48784829004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3567418 + ... + 3581066.

It is an arithmetic number, because the mean of its divisors is an integer number (1325551500).

Almost surely, 248784829058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48784829058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63626472000).

48784829058 is an abundant number, since it is smaller than the sum of its proper divisors (78468114942).

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

48784829058 is a wasteful number, since it uses less digits than its factorization.

48784829058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15176 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 48784829058 in words is "forty-eight billion, seven hundred eighty-four million, eight hundred twenty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1493 2394 2986 4479 8958 10451 13437 13649 20902 26874 27298 28367 31353 40947 56734 62706 81894 85101 94059 95543 122841 170202 188118 191086 198569 245682 255303 259331 286629 397138 510606 518662 573258 595707 777993 859887 1191414 1555986 1719774 1787121 1815317 2333979 3574242 3630634 4667958 5445951 10891902 16337853 20377957 32675706 40755914 61133871 122267742 142645699 183401613 285291398 366803226 387181183 427937097 774362366 855874194 1161543549 1283811291 2323087098 2567622582 2710268281 3484630647 5420536562 6969261294 8130804843 16261609686 24392414529 48784829058