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3661075068 = 22371012271901
BaseRepresentation
bin1101101000110111…
…1001001001111100
3100110010221212211220
43122031321021330
524444213400233
61403141313340
7156503424150
oct33215711174
910403855756
103661075068
111609643982
12862105850
13464645511
1426a32b060
15166627eb3
hexda37927c

3661075068 has 96 divisors (see below), whose sum is σ = 9908172288. Its totient is φ = 1030560000.

The previous prime is 3661075031. The next prime is 3661075073. The reversal of 3661075068 is 8605701663.

It is a super-3 number, since 3×36610750683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1924918 + ... + 1926818.

It is an arithmetic number, because the mean of its divisors is an integer number (103210128).

Almost surely, 23661075068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661075068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954086144).

3661075068 is an abundant number, since it is smaller than the sum of its proper divisors (6247097220).

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

3661075068 is a wasteful number, since it uses less digits than its factorization.

3661075068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3661075068 is about 60506.8183595865. The cubic root of 3661075068 is about 1541.2374194537.

The spelling of 3661075068 in words is "three billion, six hundred sixty-one million, seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 227 303 404 454 606 681 707 908 1212 1362 1414 1589 1901 2121 2724 2828 3178 3802 4242 4767 5703 6356 7604 8484 9534 11406 13307 19068 22812 22927 26614 39921 45854 53228 68781 79842 91708 137562 159684 160489 192001 275124 320978 384002 431527 481467 576003 641956 768004 863054 962934 1152006 1294581 1344007 1726108 1925868 2304012 2589162 2688014 3020689 4032021 5178324 5376028 6041378 8064042 9062067 12082756 16128084 18124134 36248268 43584227 87168454 130752681 174336908 261505362 305089589 523010724 610179178 915268767 1220358356 1830537534 3661075068