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1661415525 = 3252711175641
BaseRepresentation
bin110001100000111…
…0011000001100101
311021210020122122100
41203001303001211
511400310244100
6432505522313
756112541020
oct14301630145
94253218570
101661415525
1178290a090
123a44a3399
1320628a113
1411a9201b7
159acd1400
hex63073065

1661415525 has 144 divisors (see below), whose sum is σ = 3928998528. Its totient is φ = 649728000.

The previous prime is 1661415523. The next prime is 1661415617. The reversal of 1661415525 is 5255141661.

1661415525 is a `hidden beast` number, since 1 + 6 + 61 + 41 + 552 + 5 = 666.

It is not a de Polignac number, because 1661415525 - 21 = 1661415523 is a prime.

It is a super-2 number, since 2×16614155252 = 5520603093422051250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1661415525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661415523) 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 143 ways as a sum of consecutive naturals, for example, 291705 + ... + 297345.

It is an arithmetic number, because the mean of its divisors is an integer number (27284712).

Almost surely, 21661415525 is an apocalyptic number.

1661415525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1661415525 is an abundant number, since it is smaller than the sum of its proper divisors (2267583003).

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

1661415525 is a wasteful number, since it uses less digits than its factorization.

1661415525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5684 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1661415525 is about 40760.4652206032. The cubic root of 1661415525 is about 1184.3846081003.

The spelling of 1661415525 in words is "one billion, six hundred sixty-one million, four hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 17 21 25 33 35 45 51 55 63 75 77 85 99 105 119 153 165 175 187 225 231 255 275 315 357 385 425 495 525 561 595 693 765 825 935 1071 1155 1275 1309 1575 1683 1785 1925 2475 2805 2975 3465 3825 3927 4675 5355 5641 5775 6545 8415 8925 11781 14025 16923 17325 19635 26775 28205 32725 39487 42075 50769 58905 62051 84615 95897 98175 118461 141025 186153 197435 253845 287691 294525 310255 355383 423075 434357 479485 558459 592305 671279 863073 930765 987175 1054867 1269225 1303071 1438455 1551275 1776915 2013837 2171785 2397425 2792295 2961525 3164601 3356395 3909213 4315365 4653825 5274335 6041511 6515355 7192275 7384069 8884575 9493803 10069185 10858925 13961475 15823005 16781975 19546065 21576825 22152207 26371675 30207555 32576775 36920345 47469015 50345925 66456621 79115025 97730325 110761035 151037775 184601725 237345075 332283105 553805175 1661415525