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5327366100 = 2235279726153
BaseRepresentation
bin1001111011000100…
…10010011111010100
3111202021101020102120
410331202102133110
541402301203400
62240343535540
7246005602410
oct47542223724
914667336376
105327366100
112294183001
12104815a5b0
1366b91b844
14387759d40
15212a6dca0
hex13d8927d4

5327366100 has 144 divisors (see below), whose sum is σ = 17798110848. Its totient is φ = 1205084160.

The previous prime is 5327366087. The next prime is 5327366111. The reversal of 5327366100 is 16637235.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 190624 + ... + 216776.

It is an arithmetic number, because the mean of its divisors is an integer number (123597992).

Almost surely, 25327366100 is an apocalyptic number.

5327366100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5327366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899055424).

5327366100 is an abundant number, since it is smaller than the sum of its proper divisors (12470744748).

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

5327366100 is a wasteful number, since it uses less digits than its factorization.

5327366100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274 (or 26267 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 5327366100 is about 72988.8080461655. The cubic root of 5327366100 is about 1746.5090789946.

The spelling of 5327366100 in words is "five billion, three hundred twenty-seven million, three hundred sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 97 100 105 140 150 175 194 210 291 300 350 388 420 485 525 582 679 700 970 1050 1164 1358 1455 1940 2037 2100 2425 2716 2910 3395 4074 4850 5820 6790 7275 8148 9700 10185 13580 14550 16975 20370 26153 29100 33950 40740 50925 52306 67900 78459 101850 104612 130765 156918 183071 203700 261530 313836 366142 392295 523060 549213 653825 732284 784590 915355 1098426 1307650 1569180 1830710 1961475 2196852 2536841 2615300 2746065 3661420 3922950 4576775 5073682 5492130 7610523 7845900 9153550 10147364 10984260 12684205 13730325 15221046 17757887 18307100 25368410 27460650 30442092 35515774 38052615 50736820 53273661 54921300 63421025 71031548 76105230 88789435 106547322 126842050 152210460 177578870 190263075 213094644 253684100 266368305 355157740 380526150 443947175 532736610 761052300 887894350 1065473220 1331841525 1775788700 2663683050 5327366100