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3505113616 = 24194412
BaseRepresentation
bin1101000011101011…
…1100101000010000
3100001021111012221211
43100322330220100
524134302113431
61335450425504
7152600655064
oct32072745020
910037435854
103505113616
1115395aa814
12819a32294
1343b23a034
1425372daa4
15157abc2b1
hexd0ebca10

3505113616 has 75 divisors (see below), whose sum is σ = 7347545693. Its totient is φ = 1619821440.

The previous prime is 3505113613. The next prime is 3505113629. The reversal of 3505113616 is 6163115053.

The square root of 3505113616 is 59204.

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

It can be written as a sum of positive squares in only one way, i.e., 168896016 + 3336217600 = 12996^2 + 57760^2 .

It is a super-2 number, since 2×35051136162 = 24571642922137190912, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3505113613) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85490556 + ... + 85490596.

Almost surely, 23505113616 is an apocalyptic number.

3505113616 is the 59204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3505113616

3505113616 is an abundant number, since it is smaller than the sum of its proper divisors (3842432077).

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

3505113616 is an frugal number, since it uses more digits than its factorization.

3505113616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The cubic root of 3505113616 is about 1519.0335523093.

Multiplying 3505113616 by its product of nonzero digits (8100), we get a square (28391420289600 = 53283602).

Adding to 3505113616 its reverse (6163115053), we get a palindrome (9668228669).

The spelling of 3505113616 in words is "three billion, five hundred five million, one hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 361 656 722 779 1444 1558 1681 2888 3116 3362 5776 6232 6724 6859 12464 13448 13718 14801 26896 27436 29602 31939 54872 59204 63878 109744 118408 127756 130321 236816 255512 260642 281219 511024 521284 562438 606841 1042568 1124876 1213682 2085136 2249752 2427364 4499504 4854728 5343161 9709456 10686322 11529979 21372644 23059958 42745288 46119916 85490576 92239832 184479664 219069601 438139202 876278404 1752556808 3505113616