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5451461120 = 2957304211
BaseRepresentation
bin1010001001110111…
…01011001000000000
3112001220212220210102
411010323223020000
542131033223440
62300535421532
7252043440440
oct50473531000
915056786712
105451461120
112348231476
1210818248a8
1368b54a651
1439a020120
1521d8d2b15
hex144eeb200

5451461120 has 80 divisors (see below), whose sum is σ = 14938026048. Its totient is φ = 1869066240.

The previous prime is 5451461089. The next prime is 5451461137. The reversal of 5451461120 is 211641545.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 134186 + ... + 170025.

Almost surely, 25451461120 is an apocalyptic number.

It is an amenable number.

5451461120 is an abundant number, since it is smaller than the sum of its proper divisors (9486564928).

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

5451461120 is an equidigital number, since it uses as much as digits as its factorization.

5451461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304241 (or 304225 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5451461120 is about 73834.0105913257. The cubic root of 5451461120 is about 1759.9661150501.

The spelling of 5451461120 in words is "five billion, four hundred fifty-one million, four hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 304211 608422 1216844 1521055 2129477 2433688 3042110 4258954 4867376 6084220 8517908 9734752 10647385 12168440 17035816 19469504 21294770 24336880 34071632 38939008 42589540 48673760 68143264 77878016 85179080 97347520 136286528 155756032 170358160 194695040 272573056 340716320 389390080 545146112 681432640 778780160 1090292224 1362865280 2725730560 5451461120