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3661000541 = 1117197913043
BaseRepresentation
bin1101101000110110…
…0110111101011101
3100110010211002121122
43122031212331131
524444204004131
61403135540325
7156502663652
oct33215467535
910403732548
103661000541
1116095a2990
1286208a6a5
1346461a613
1426a30bc29
15166610d7b
hexda366f5d

3661000541 has 32 divisors (see below), whose sum is σ = 4508006400. Its totient is φ = 2929754880.

The previous prime is 3661000537. The next prime is 3661000547. The reversal of 3661000541 is 1450001663.

It is a cyclic number.

It is not a de Polignac number, because 3661000541 - 22 = 3661000537 is a prime.

It is a super-2 number, since 2×36610005412 = 26805849922404585362, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3661000541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661000547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274166 + ... + 287208.

It is an arithmetic number, because the mean of its divisors is an integer number (140875200).

Almost surely, 23661000541 is an apocalyptic number.

It is an amenable number.

3661000541 is a deficient number, since it is larger than the sum of its proper divisors (847005859).

3661000541 is a wasteful number, since it uses less digits than its factorization.

3661000541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3661000541 is about 60506.2025002396. The cubic root of 3661000541 is about 1541.2269612706.

The spelling of 3661000541 in words is "three billion, six hundred sixty-one million, five hundred forty-one", and thus it is an aban number.

Divisors: 1 11 17 19 79 187 209 323 869 1343 1501 3553 13043 14773 16511 25517 143473 221731 247817 280687 1030397 2439041 2725987 4212889 11334367 17516749 19577543 46341779 192684239 215352973 332818231 3661000541