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31530039489 = 321322921572
BaseRepresentation
bin11101010111010101…
…100011100011000001
310000101101022221222100
4131113111203203001
51004033142230424
622252410101013
72164225625244
oct352725434301
9100341287870
1031530039489
111240a981383
12613b41a769
132c86374300
14175172b25b
15c48108dc9
hex7575638c1

31530039489 has 81 divisors (see below), whose sum is σ = 51402807963. Its totient is φ = 18614703744.

The previous prime is 31530039487. The next prime is 31530039503. The reversal of 31530039489 is 98493003513.

The square root of 31530039489 is 177567.

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

31530039489 is a `hidden beast` number, since 3 + 1 + 530 + 0 + 39 + 4 + 89 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30212349489 + 1317690000 = 173817^2 + 36300^2 .

It is not a de Polignac number, because 31530039489 - 21 = 31530039487 is a prime.

It is a super-2 number, since 2×315300394892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31530039481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 200828199 + ... + 200828355.

Almost surely, 231530039489 is an apocalyptic number.

31530039489 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

31530039489 is the 177567-th square number.

31530039489 is the 88784-th centered octagonal number.

It is an amenable number.

31530039489 is a deficient number, since it is larger than the sum of its proper divisors (19872768474).

31530039489 is a wasteful number, since it uses less digits than its factorization.

31530039489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 31530039489 in words is "thirty-one billion, five hundred thirty million, thirty-nine thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 29 39 87 117 157 169 261 377 471 507 841 1131 1413 1521 2041 2523 3393 4553 4901 6123 7569 10933 13659 14703 18369 24649 26533 32799 40977 44109 59189 73947 79599 98397 132037 142129 177567 221841 238797 320437 396111 426387 532701 714821 769457 961311 1188333 1279161 1716481 2144463 2308371 2883933 4165681 5149443 6433389 6925113 9292673 12497043 15448329 20729809 22314253 27878019 37491129 62189427 66942759 83634057 120804749 186568281 200828277 269487517 362414247 808462551 1087242741 2425387653 3503337721 10510013163 31530039489