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61110055656 = 233213101646421
BaseRepresentation
bin111000111010011100…
…010111001011101000
312211201212100110211200
4320322130113023220
52000123133240111
644023520324200
74262235621366
oct707234271350
9184655313750
1061110055656
1123a0a040331
12ba15773660
1359bb71bb60
142d5a08c636
1518c9e23256
hexe3a7172e8

61110055656 has 96 divisors (see below), whose sum is σ = 180002670120. Its totient is φ = 18616896000.

The previous prime is 61110055637. The next prime is 61110055667. The reversal of 61110055656 is 65655001116.

It can be written as a sum of positive squares in 4 ways, for example, as 59326344900 + 1783710756 = 243570^2 + 42234^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 61110055656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228675 + ... + 417746.

Almost surely, 261110055656 is an apocalyptic number.

It is an amenable number.

61110055656 is an abundant number, since it is smaller than the sum of its proper divisors (118892614464).

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

61110055656 is a wasteful number, since it uses less digits than its factorization.

61110055656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646547 (or 646540 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 61110055656 in words is "sixty-one billion, one hundred ten million, fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 646421 1292842 1939263 2585684 3878526 5171368 5817789 7757052 8403473 11635578 15514104 16806946 23271156 25210419 33613892 46542312 50420838 65288521 67227784 75631257 100841676 130577042 151262514 195865563 201683352 261154084 302525028 391731126 522308168 587596689 605050056 783462252 848750773 1175193378 1566924504 1697501546 2350386756 2546252319 3395003092 4700773512 5092504638 6790006184 7638756957 10185009276 15277513914 20370018552 30555027828 61110055656