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5742306648 = 23331317120293
BaseRepresentation
bin1010101100100010…
…01010010101011000
3112211012011101212000
411112101022111120
543230012303043
62345445321000
7262204541541
oct52621122530
915735141760
105742306648
112487422a81
121143106160
137068916b0
143c68cd4c8
152391d42d3
hex15644a558

5742306648 has 128 divisors (see below), whose sum is σ = 18188452800. Its totient is φ = 1662916608.

The previous prime is 5742306643. The next prime is 5742306653. The reversal of 5742306648 is 8466032475.

5742306648 is a `hidden beast` number, since 574 + 2 + 30 + 6 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (5742306643) and next prime (5742306653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742306643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12411 + ... + 107882.

Almost surely, 25742306648 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 5742306648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094226400).

5742306648 is an abundant number, since it is smaller than the sum of its proper divisors (12446146152).

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

5742306648 is a wasteful number, since it uses less digits than its factorization.

5742306648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120338 (or 120328 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5742306648 is about 75778.0089999731. The cubic root of 5742306648 is about 1790.7245745893.

The spelling of 5742306648 in words is "five billion, seven hundred forty-two million, three hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 120293 240586 360879 481172 721758 962344 1082637 1443516 1563809 2044981 2165274 2887032 3127618 3247911 4089962 4330548 4691427 6134943 6255236 6495822 8179924 8661096 9382854 12269886 12510472 12991644 14074281 16359848 18404829 18765708 24539772 25983288 26584753 28148562 36809658 37531416 42222843 49079544 53169506 55214487 56297124 73619316 79754259 84445686 106339012 110428974 112594248 147238632 159508518 168891372 212678024 220857948 239262777 319017036 337782744 441715896 478525554 638034072 717788331 957051108 1435576662 1914102216 2871153324 5742306648