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5274316900 = 2252149479739
BaseRepresentation
bin1001110100101111…
…11011000001100100
3111121120120001121101
410322113323001210
541300211120100
62231210525444
7244462645126
oct47227730144
914546501541
105274316900
11226723a396
121032436884
13660936598
143806ab216
1520d09086a
hex13a5fb064

5274316900 has 72 divisors (see below), whose sum is σ = 11561760000. Its totient is φ = 2088362880.

The previous prime is 5274316877. The next prime is 5274316903. The reversal of 5274316900 is 96134725.

It is a super-2 number, since 2×52743169002 = 55636837523251220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5274316900.

It is not an unprimeable number, because it can be changed into a prime (5274316903) 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 23 ways as a sum of consecutive naturals, for example, 7136731 + ... + 7137469.

It is an arithmetic number, because the mean of its divisors is an integer number (160580000).

Almost surely, 25274316900 is an apocalyptic number.

5274316900 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 5274316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880000).

5274316900 is an abundant number, since it is smaller than the sum of its proper divisors (6287443100).

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

5274316900 is a wasteful number, since it uses less digits than its factorization.

5274316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 5274316900 is about 72624.4924250765. The cubic root of 5274316900 is about 1740.6925613182.

The spelling of 5274316900 in words is "five billion, two hundred seventy-four million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 479 596 739 745 958 1478 1490 1916 2395 2956 2980 3695 3725 4790 7390 7450 9580 11975 14780 14900 18475 23950 36950 47900 71371 73900 110111 142742 220222 285484 353981 356855 440444 550555 707962 713710 1101110 1415924 1427420 1769905 1784275 2202220 2752775 3539810 3568550 5505550 7079620 7137100 8849525 11011100 17699050 35398100 52743169 105486338 210972676 263715845 527431690 1054863380 1318579225 2637158450 5274316900