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5190321200 = 2452194116657
BaseRepresentation
bin1001101010101111…
…00000010000110000
3111101201111122011112
410311113200100300
541112210234300
62215010332452
7242423000531
oct46527402060
914351448145
105190321200
11222388a159
12100a28a128
1364940759c
14373484688
152059ece35
hex1355e0430

5190321200 has 120 divisors (see below), whose sum is σ = 13447003920. Its totient is φ = 1918771200.

The previous prime is 5190321179. The next prime is 5190321203. The reversal of 5190321200 is 21230915.

It is not an unprimeable number, because it can be changed into a prime (5190321203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303272 + ... + 319928.

It is an arithmetic number, because the mean of its divisors is an integer number (112058366).

Almost surely, 25190321200 is an apocalyptic number.

5190321200 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 5190321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723501960).

5190321200 is an abundant number, since it is smaller than the sum of its proper divisors (8256682720).

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

5190321200 is a wasteful number, since it uses less digits than its factorization.

5190321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16735 (or 16724 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5190321200 is about 72043.8838486655. The cubic root of 5190321200 is about 1731.4026514165.

The spelling of 5190321200 in words is "five billion, one hundred ninety million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 41 50 76 80 82 95 100 152 164 190 200 205 304 328 380 400 410 475 656 760 779 820 950 1025 1520 1558 1640 1900 2050 3116 3280 3800 3895 4100 6232 7600 7790 8200 12464 15580 16400 16657 19475 31160 33314 38950 62320 66628 77900 83285 133256 155800 166570 266512 311600 316483 333140 416425 632966 666280 682937 832850 1265932 1332560 1365874 1582415 1665700 2531864 2731748 3164830 3331400 3414685 5063728 5463496 6329660 6662800 6829370 7912075 10926992 12659320 12975803 13658740 15824150 17073425 25318640 25951606 27317480 31648300 34146850 51903212 54634960 63296600 64879015 68293700 103806424 126593200 129758030 136587400 207612848 259516060 273174800 324395075 519032120 648790150 1038064240 1297580300 2595160600 5190321200