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5486795776 = 21072119941
BaseRepresentation
bin1010001110000100…
…11101110000000000
3112011101101002211101
411013002131300000
542214104431101
62304241024144
7252652665100
oct50702356000
915141332741
105486795776
112366175970
121091625054
1369596c827
143a09bb200
15221a62401
hex14709dc00

5486795776 has 132 divisors (see below), whose sum is σ = 13920271416. Its totient is φ = 2137497600.

The previous prime is 5486795771. The next prime is 5486795777. The reversal of 5486795776 is 6775976845.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5486795771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546966 + ... + 556906.

Almost surely, 25486795776 is an apocalyptic number.

5486795776 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 5486795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960135708).

5486795776 is an abundant number, since it is smaller than the sum of its proper divisors (8433475640).

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

5486795776 is a wasteful number, since it uses less digits than its factorization.

5486795776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9961 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 64.

The square root of 5486795776 is about 74072.9085158670. The cubic root of 5486795776 is about 1763.7604444996.

It can be divided in two parts, 548679 and 5776, that added together give a palindrome (554455).

The spelling of 5486795776 in words is "five billion, four hundred eighty-six million, seven hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1024 1078 1232 1408 1568 1792 2156 2464 2816 3136 3584 4312 4928 5632 6272 7168 8624 9856 9941 11264 12544 17248 19712 19882 25088 34496 39424 39764 50176 68992 69587 78848 79528 109351 137984 139174 159056 218702 275968 278348 318112 437404 487109 551936 556696 636224 765457 874808 974218 1113392 1272448 1530914 1749616 1948436 2226784 2544896 3061828 3499232 3896872 4453568 5089792 5358199 6123656 6998464 7793744 8907136 10179584 10716398 12247312 13996928 15587488 17814272 21432796 24494624 27993856 31174976 35628544 42865592 48989248 55987712 62349952 71257088 85731184 97978496 111975424 124699904 171462368 195956992 249399808 342924736 391913984 498799616 685849472 783827968 1371698944 2743397888 5486795776