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1061165506104 = 2333111693263803
BaseRepresentation
bin11110111000100100110…
…01001001111000111000
310202110001110010002001000
433130102121021320320
5114341231332143404
62131254231325000
7136444445655504
oct17342231117070
93673043102030
101061165506104
1137a046299a40
121517b2220760
13790b53308c2
1439509a0b304
151c90b48e339
hexf712649e38

1061165506104 has 128 divisors (see below), whose sum is σ = 3217564627200. Its totient is φ = 321374148480.

The previous prime is 1061165506099. The next prime is 1061165506111. The reversal of 1061165506104 is 4016055611601.

1061165506104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10611655061042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3890667 + ... + 4154469.

It is an arithmetic number, because the mean of its divisors is an integer number (25137223650).

Almost surely, 21061165506104 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 1061165506104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608782313600).

1061165506104 is an abundant number, since it is smaller than the sum of its proper divisors (2156399121096).

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

1061165506104 is a wasteful number, since it uses less digits than its factorization.

1061165506104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265522 (or 265512 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1061165506104 in words is "one trillion, sixty-one billion, one hundred sixty-five million, five hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1693 2376 3386 5079 6772 10158 13544 15237 18623 20316 30474 37246 40632 45711 55869 60948 74492 91422 111738 121896 148984 167607 182844 223476 263803 335214 365688 446952 502821 527606 670428 791409 1005642 1055212 1340856 1582818 2011284 2110424 2374227 2901833 3165636 4022568 4748454 5803666 6331272 7122681 8705499 9496908 11607332 14245362 17410998 18993816 23214664 26116497 28490724 34821996 52232994 56981448 69643992 78349491 104465988 156698982 208931976 313397964 446618479 626795928 893236958 1339855437 1786473916 2679710874 3572947832 4019566311 4912803269 5359421748 8039132622 9825606538 10718843496 12058698933 14738409807 16078265244 19651213076 24117397866 29476819614 32156530488 39302426152 44215229421 48234795732 58953639228 88430458842 96469591464 117907278456 132645688263 176860917684 265291376526 353721835368 530582753052 1061165506104