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5296428810 = 2345109239251
BaseRepresentation
bin1001110111011000…
…10001011100001010
3111200010011110110000
410323230101130022
541321341210220
62233320503430
7245151621261
oct47354213412
914603143400
105296428810
1122787723a2
12103991ab76
136653a905a
143835c55d8
1520eeac390
hex13bb1170a

5296428810 has 160 divisors (see below), whose sum is σ = 14489798400. Its totient is φ = 1388016000.

The previous prime is 5296428791. The next prime is 5296428827. The reversal of 5296428810 is 188246925.

5296428810 is a `hidden beast` number, since 529 + 6 + 42 + 8 + 81 + 0 = 666.

It is a super-2 number, since 2×52964288102 = 56104316278796032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21101185 + ... + 21101435.

It is an arithmetic number, because the mean of its divisors is an integer number (90561240).

Almost surely, 25296428810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5296428810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244899200).

5296428810 is an abundant number, since it is smaller than the sum of its proper divisors (9193369590).

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

5296428810 is a wasteful number, since it uses less digits than its factorization.

5296428810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5296428810 is about 72776.5677261576. The cubic root of 5296428810 is about 1743.1217146852.

The spelling of 5296428810 in words is "five billion, two hundred ninety-six million, four hundred twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 239 251 270 327 405 478 502 545 654 717 753 810 981 1090 1195 1255 1434 1506 1635 1962 2151 2259 2390 2510 2943 3270 3585 3765 4302 4518 4905 5886 6453 6777 7170 7530 8829 9810 10755 11295 12906 13554 14715 17658 19359 20331 21510 22590 26051 27359 29430 32265 33885 38718 40662 44145 52102 54718 59989 64530 67770 78153 82077 88290 96795 101655 119978 130255 136795 156306 164154 179967 193590 203310 234459 246231 260510 273590 299945 359934 390765 410385 468918 492462 539901 599890 703377 738693 781530 820770 899835 1079802 1172295 1231155 1406754 1477386 1619703 1799670 2110131 2216079 2344590 2462310 2699505 3239406 3516885 3693465 4220262 4432158 4859109 5399010 6538801 7033770 7386930 8098515 9718218 10550655 11080395 13077602 16197030 19616403 21101310 22160790 24295545 32694005 39232806 48591090 58849209 65388010 98082015 117698418 176547627 196164030 294246045 353095254 529642881 588492090 882738135 1059285762 1765476270 2648214405 5296428810