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5151660660 = 22325416531069
BaseRepresentation
bin1001100110001000…
…00001101001110100
3111022000202110212200
410303010001221310
541022311120120
62211105544500
7241443251556
oct46304015164
914260673780
105151660660
112203a839a3
12bb9345130
136413bc623
1436c29d4d6
15202412e90
hex133101a74

5151660660 has 144 divisors (see below), whose sum is σ = 16047354960. Its totient is φ = 1336965120.

The previous prime is 5151660629. The next prime is 5151660667. The reversal of 5151660660 is 660661515.

It can be written as a sum of positive squares in 8 ways, for example, as 1228642704 + 3923017956 = 35052^2 + 62634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151660667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4818606 + ... + 4819674.

It is an arithmetic number, because the mean of its divisors is an integer number (111439965).

Almost surely, 25151660660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151660660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023677480).

5151660660 is an abundant number, since it is smaller than the sum of its proper divisors (10895694300).

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

5151660660 is a wasteful number, since it uses less digits than its factorization.

5151660660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5151660660 is about 71775.0699059221. The cubic root of 5151660660 is about 1727.0931013122.

The spelling of 5151660660 in words is "five billion, one hundred fifty-one million, six hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 653 738 820 1069 1230 1306 1476 1845 1959 2138 2460 2612 3207 3265 3690 3918 4276 5345 5877 6414 6530 7380 7836 9621 9795 10690 11754 12828 13060 16035 19242 19590 21380 23508 26773 29385 32070 38484 39180 43829 48105 53546 58770 64140 80319 87658 96210 107092 117540 131487 133865 160638 175316 192420 219145 240957 262974 267730 321276 394461 401595 438290 481914 525948 535460 657435 698057 788922 803190 876580 963828 1204785 1314870 1396114 1577844 1606380 1972305 2094171 2409570 2629740 2792228 3490285 3944610 4188342 4819140 6282513 6980570 7889220 8376684 10470855 12565026 13961140 20941710 25130052 28620337 31412565 41883420 57240674 62825130 85861011 114481348 125650260 143101685 171722022 257583033 286203370 343444044 429305055 515166066 572406740 858610110 1030332132 1287915165 1717220220 2575830330 5151660660