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5451055456 = 257119722807
BaseRepresentation
bin1010001001110100…
…01000000101100000
3112001220010022022211
411010322020011200
542130432233311
62300523011504
7252040130650
oct50472100540
915056108284
105451055456
112347a84710
121081669b94
1368b437b02
14399d56360
1521d852821
hex144e88160

5451055456 has 96 divisors (see below), whose sum is σ = 13518392832. Its totient is φ = 2101800960.

The previous prime is 5451055439. The next prime is 5451055471. The reversal of 5451055456 is 6545501545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227605 + ... + 250411.

It is an arithmetic number, because the mean of its divisors is an integer number (140816592).

Almost surely, 25451055456 is an apocalyptic number.

5451055456 is a gapful number since it is divisible by the number (56) 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 5451055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759196416).

5451055456 is an abundant number, since it is smaller than the sum of its proper divisors (8067337376).

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

5451055456 is a wasteful number, since it uses less digits than its factorization.

5451055456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22932 (or 22924 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 40.

The square root of 5451055456 is about 73831.2634051457. The cubic root of 5451055456 is about 1759.9224587050.

The spelling of 5451055456 in words is "five billion, four hundred fifty-one million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 97 112 154 176 194 224 308 352 388 616 679 776 1067 1232 1358 1552 2134 2464 2716 3104 4268 5432 7469 8536 10864 14938 17072 21728 22807 29876 34144 45614 59752 91228 119504 159649 182456 239008 250877 319298 364912 501754 638596 729824 1003508 1277192 1756139 2007016 2212279 2554384 3512278 4014032 4424558 5108768 7024556 8028064 8849116 14049112 15485953 17698232 24335069 28098224 30971906 35396464 48670138 56196448 61943812 70792928 97340276 123887624 170345483 194680552 247775248 340690966 389361104 495550496 681381932 778722208 1362763864 2725527728 5451055456