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5563130400 = 253252772657
BaseRepresentation
bin1010010111001011…
…01010001000100000
3112100201000022020200
411023211222020200
542343130133100
62320005105200
7254600554032
oct51345521040
915321008220
105563130400
1123a5273233
1210b30b8200
136a8718749
143aababc52
152285dee00
hex14b96a220

5563130400 has 108 divisors (see below), whose sum is σ = 19617013962. Its totient is φ = 1483499520.

The previous prime is 5563130393. The next prime is 5563130423. The reversal of 5563130400 is 40313655.

It can be written as a sum of positive squares in 3 ways, for example, as 5444668944 + 118461456 = 73788^2 + 10884^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 379129 + ... + 393528.

Almost surely, 25563130400 is an apocalyptic number.

5563130400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5563130400 is an abundant number, since it is smaller than the sum of its proper divisors (14053883562).

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

5563130400 is a wasteful number, since it uses less digits than its factorization.

5563130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772683 (or 772667 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5563130400 is about 74586.3955423508. The cubic root of 5563130400 is about 1771.9021970761.

The spelling of 5563130400 in words is "five billion, five hundred sixty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 772657 1545314 2317971 3090628 3863285 4635942 6181256 6953913 7726570 9271884 11589855 12362512 13907826 15453140 18543768 19316425 23179710 24725024 27815652 30906280 34769565 37087536 38632850 46359420 55631304 57949275 61812560 69539130 74175072 77265700 92718840 111262608 115898550 123625120 139078260 154531400 173847825 185437680 222525216 231797100 278156520 309062800 347695650 370875360 463594200 556313040 618125600 695391300 927188400 1112626080 1390782600 1854376800 2781565200 5563130400