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5377064130 = 23251711093169
BaseRepresentation
bin1010000000111111…
…10111110011000010
3111212201220011022100
411000133313303002
542003012023010
62245321051230
7250151201544
oct50037676302
914781804270
105377064130
11230a237959
121060926b16
13678ccc669
143901b5694
152170d92c0
hex1407f7cc2

5377064130 has 96 divisors (see below), whose sum is σ = 14820764400. Its totient is φ = 1347895296.

The previous prime is 5377064117. The next prime is 5377064213. The reversal of 5377064130 is 314607735.

5377064130 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 0 + 641 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2290483881 + 3086580249 = 47859^2 + 55557^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1695186 + ... + 1698354.

Almost surely, 25377064130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5377064130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410382200).

5377064130 is an abundant number, since it is smaller than the sum of its proper divisors (9443700270).

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

5377064130 is a wasteful number, since it uses less digits than its factorization.

5377064130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5377064130 is about 73328.4673915936. The cubic root of 5377064130 is about 1751.9232330941.

The spelling of 5377064130 in words is "five billion, three hundred seventy-seven million, sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1109 1530 2218 3169 3327 5545 6338 6654 9507 9981 11090 15845 16635 18853 19014 19962 28521 31690 33270 37706 47535 49905 53873 56559 57042 94265 95070 99810 107746 113118 142605 161619 169677 188530 269365 282795 285210 323238 339354 484857 538730 565590 808095 848385 969714 1616190 1696770 2424285 3514421 4848570 7028842 10543263 17572105 21086526 31629789 35144210 52716315 59745157 63259578 105432630 119490314 158148945 179235471 298725785 316297890 358470942 537706413 597451570 896177355 1075412826 1792354710 2688532065 5377064130