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5358678048 = 253261930059
BaseRepresentation
bin1001111110110011…
…01111000000100000
3111211110022001100100
410333121233000200
541433310144143
62243423022400
7246536004033
oct47731570040
914743261310
105358678048
1122aa91a149
12105673aa00
13675262a19
1438b98b01a
152156a66d3
hex13f66f020

5358678048 has 72 divisors (see below), whose sum is σ = 15263866800. Its totient is φ = 1783281024.

The previous prime is 5358678047. The next prime is 5358678079. The reversal of 5358678048 is 8408768535.

5358678048 is a `hidden beast` number, since 53 + 586 + 7 + 8 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5358677985 and 5358678003.

It is not an unprimeable number, because it can be changed into a prime (5358678043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163243 + ... + 193301.

It is an arithmetic number, because the mean of its divisors is an integer number (211998150).

Almost surely, 25358678048 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 5358678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631933400).

5358678048 is an abundant number, since it is smaller than the sum of its proper divisors (9905188752).

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

5358678048 is a wasteful number, since it uses less digits than its factorization.

5358678048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30694 (or 30683 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 5358678048 is about 73202.9920699967. The cubic root of 5358678048 is about 1749.9241379904.

The spelling of 5358678048 in words is "five billion, three hundred fifty-eight million, six hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 19808 22284 29712 30059 44568 59424 60118 89136 90177 120236 178272 180354 240472 270531 360708 480944 541062 721416 961888 1082124 1442832 2164248 2885664 4328496 8656992 18606521 37213042 55819563 74426084 111639126 148852168 167458689 223278252 297704336 334917378 446556504 595408672 669834756 893113008 1339669512 1786226016 2679339024 5358678048