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58148395648 = 277271130579
BaseRepresentation
bin110110001001111010…
…100001101010000000
312120002110110120002021
4312021322201222000
51423041442130043
642414001531224
74125654131200
oct661172415200
9176073416067
1058148395648
112272a287332
12b329943b14
135638c6c705
142b589c6400
1517a4e043ed
hexd89ea1a80

58148395648 has 96 divisors (see below), whose sum is σ = 136654581600. Its totient is φ = 24569556480.

The previous prime is 58148395621. The next prime is 58148395681. The reversal of 58148395648 is 84659384185.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

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, 380023 + ... + 510601.

It is an arithmetic number, because the mean of its divisors is an integer number (1423485225).

Almost surely, 258148395648 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 58148395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68327290800).

58148395648 is an abundant number, since it is smaller than the sum of its proper divisors (78506185952).

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

58148395648 is a wasteful number, since it uses less digits than its factorization.

58148395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130678 (or 130659 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 61.

The spelling of 58148395648 in words is "fifty-eight billion, one hundred forty-eight million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 284 392 448 497 568 784 896 994 1136 1568 1988 2272 3136 3479 3976 4544 6272 6958 7952 9088 13916 15904 27832 31808 55664 63616 111328 130579 222656 261158 445312 522316 914053 1044632 1828106 2089264 3656212 4178528 6398371 7312424 8357056 9271109 12796742 14624848 16714112 18542218 25593484 29249696 37084436 51186968 58499392 64897763 74168872 102373936 116998784 129795526 148337744 204747872 259591052 296675488 409495744 454284341 519182104 593350976 818991488 908568682 1038364208 1186701952 1817137364 2076728416 3634274728 4153456832 7268549456 8306913664 14537098912 29074197824 58148395648