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5203136160 = 253254188129
BaseRepresentation
bin1001101100010000…
…11000111010100000
3111102121121200222200
410312020120322200
541124000324120
62220145133200
7242636633115
oct46610307240
914377550880
105203136160
112230042232
12101262a200
1364bc734c1
1437505c90c
15206bcee90
hex136218ea0

5203136160 has 144 divisors (see below), whose sum is σ = 18188974440. Its totient is φ = 1353646080.

The previous prime is 5203136129. The next prime is 5203136167. The reversal of 5203136160 is 616313025.

5203136160 is a `hidden beast` number, since 520 + 3 + 136 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2058618384 + 3144517776 = 45372^2 + 56076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5203136167) 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 23 ways as a sum of consecutive naturals, for example, 14976 + ... + 103104.

Almost surely, 25203136160 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 5203136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094487220).

5203136160 is an abundant number, since it is smaller than the sum of its proper divisors (12985838280).

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

5203136160 is a wasteful number, since it uses less digits than its factorization.

5203136160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88191 (or 88180 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5203136160 is about 72132.7675886625. The cubic root of 5203136160 is about 1732.8264309983.

Adding to 5203136160 its reverse (616313025), we get a palindrome (5819449185).

The spelling of 5203136160 in words is "five billion, two hundred three million, one hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 88129 176258 264387 352516 440645 528774 705032 793161 881290 1057548 1321935 1410064 1586322 1762580 2115096 2643870 2820128 3172644 3525160 3613289 3965805 4230192 5287740 6345288 7050320 7226578 7931610 8460384 10575480 10839867 12690576 14100640 14453156 15863220 18066445 21150960 21679734 25381152 28906312 31726440 32519601 36132890 42301920 43359468 54199335 57812624 63452880 65039202 72265780 86718936 108398670 115625248 126905760 130078404 144531560 162598005 173437872 216797340 260156808 289063120 325196010 346875744 433594680 520313616 578126240 650392020 867189360 1040627232 1300784040 1734378720 2601568080 5203136160