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5058048672 = 253319308117
BaseRepresentation
bin1001011010111101…
…11011001010100000
3111001111121111101000
410231132323022200
540324330024142
62153523312000
7236225463405
oct45536731240
914044544330
105058048672
112166155916
12b91b1b600
13627ba4611
1435da922ac
151e90c114c
hex12d7bb2a0

5058048672 has 96 divisors (see below), whose sum is σ = 15529147200. Its totient is φ = 1597273344.

The previous prime is 5058048647. The next prime is 5058048673. The reversal of 5058048672 is 2768408505.

5058048672 is a `hidden beast` number, since 5 + 0 + 580 + 4 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5058048673) 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 15 ways as a sum of consecutive naturals, for example, 137643 + ... + 170474.

It is an arithmetic number, because the mean of its divisors is an integer number (161761950).

Almost surely, 25058048672 is an apocalyptic number.

It is an amenable number.

5058048672 is an abundant number, since it is smaller than the sum of its proper divisors (10471098528).

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

5058048672 is a wasteful number, since it uses less digits than its factorization.

5058048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308155 (or 308141 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5058048672 is about 71119.9597300223. The cubic root of 5058048672 is about 1716.5679571399.

The spelling of 5058048672 in words is "five billion, fifty-eight million, forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 308117 616234 924351 1232468 1848702 2464936 2773053 3697404 4929872 5546106 5854223 7394808 8319159 9859744 11092212 11708446 14789616 16638318 17562669 22184424 23416892 29579232 33276636 35125338 44368848 46833784 52688007 66553272 70250676 88737696 93667568 105376014 133106544 140501352 158064021 187335136 210752028 266213088 281002704 316128042 421504056 562005408 632256084 843008112 1264512168 1686016224 2529024336 5058048672