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5351170400 = 2552311271699
BaseRepresentation
bin1001111101111010…
…00110000101100000
3111210221011121210022
410332331012011200
541424344423100
62242554053012
7246415124612
oct47675060540
914727147708
105351170400
1122a6661584
12105411a168
13673834724
1438a994db2
15214bc1e85
hex13ef46160

5351170400 has 144 divisors (see below), whose sum is σ = 13599129600. Its totient is φ = 2053900800.

The previous prime is 5351170361. The next prime is 5351170423. The reversal of 5351170400 is 40711535.

It is a self number, because there is not a number n which added to its sum of digits gives 5351170400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3148751 + ... + 3150449.

It is an arithmetic number, because the mean of its divisors is an integer number (94438400).

Almost surely, 25351170400 is an apocalyptic number.

5351170400 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 5351170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799564800).

5351170400 is an abundant number, since it is smaller than the sum of its proper divisors (8247959200).

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

5351170400 is a wasteful number, since it uses less digits than its factorization.

5351170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 5351170400 is about 73151.6944438063. The cubic root of 5351170400 is about 1749.1065262218.

Adding to 5351170400 its reverse (40711535), we get a palindrome (5391881935).

The spelling of 5351170400 in words is "five billion, three hundred fifty-one million, one hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 127 155 160 200 248 254 310 400 496 508 620 635 775 800 992 1016 1240 1270 1550 1699 2032 2480 2540 3100 3175 3398 3937 4064 4960 5080 6200 6350 6796 7874 8495 10160 12400 12700 13592 15748 16990 19685 20320 24800 25400 27184 31496 33980 39370 42475 50800 52669 54368 62992 67960 78740 84950 98425 101600 105338 125984 135920 157480 169900 196850 210676 215773 263345 271840 314960 339800 393700 421352 431546 526690 629920 679600 787400 842704 863092 1053380 1078865 1316725 1359200 1574800 1685408 1726184 2106760 2157730 2633450 3149600 3452368 4213520 4315460 5266900 5394325 6688963 6904736 8427040 8630920 10533800 10788650 13377926 17261840 21067600 21577300 26755852 33444815 34523680 42135200 43154600 53511704 66889630 86309200 107023408 133779260 167224075 172618400 214046816 267558520 334448150 535117040 668896300 1070234080 1337792600 2675585200 5351170400