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5237272161 = 34112172432
BaseRepresentation
bin1001110000010101…
…00110111001100001
3111111222211222210000
410320022212321201
541211220202121
62223404530213
7243533036022
oct47012467141
914458758700
105237272161
112248338100
121021b50969
13656065c14
143797c6c49
15209bc4526
hex1382a6e61

5237272161 has 135 divisors (see below), whose sum is σ = 9352463043. Its totient is φ = 2917918080.

The previous prime is 5237272123. The next prime is 5237272171. The reversal of 5237272161 is 1612727325.

The square root of 5237272161 is 72369.

It is a perfect power (a square), and thus also a powerful number.

5237272161 is a `hidden beast` number, since 523 + 7 + 2 + 72 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4077461025 + 1159811136 = 63855^2 + 34056^2 .

It is not a de Polignac number, because 5237272161 - 229 = 4700401249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5237272111) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 121797006 + ... + 121797048.

Almost surely, 25237272161 is an apocalyptic number.

5237272161 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5237272161 is the 72369-th square number.

5237272161 is the 36185-th centered octagonal number.

It is an amenable number.

5237272161 is a deficient number, since it is larger than the sum of its proper divisors (4115190882).

5237272161 is a wasteful number, since it uses less digits than its factorization.

5237272161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The cubic root of 5237272161 is about 1736.6076681995.

Multiplying 5237272161 by its sum of digits (36), we get a square (188541797796 = 4342142).

Adding to 5237272161 its reverse (1612727325), we get a palindrome (6849999486).

The spelling of 5237272161 in words is "five billion, two hundred thirty-seven million, two hundred seventy-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 43 51 81 99 121 129 153 187 289 297 363 387 459 473 561 731 867 891 1089 1161 1377 1419 1683 1849 2057 2193 2601 3179 3267 3483 4257 5049 5203 5547 6171 6579 7803 8041 9537 9801 12427 12771 15147 15609 16641 18513 19737 20339 23409 24123 28611 31433 34969 37281 38313 46827 49923 55539 59211 61017 72369 85833 88451 94299 104907 111843 136697 140481 149769 166617 183051 217107 223729 257499 265353 282897 314721 335529 345763 410091 421443 534361 549153 651321 671187 796059 848691 944163 1006587 1037289 1230273 1503667 1603083 1647459 2013561 2388177 2546073 2832489 3111867 3690819 3803393 4511001 4809249 5877971 6040683 7164531 9335601 11072457 11410179 13533003 14427747 17633913 18122049 28006803 34230537 40599009 43283241 52901739 64657681 102691611 121797027 158705217 193973043 308074833 476115651 581919129 1745757387 5237272161