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61078385664 = 21034736381
BaseRepresentation
bin111000111000100011…
…100011010000000000
312211122122202110210000
4320320203203100000
52000042031320124
644020425440000
74261402466142
oct707043432000
9184578673700
1061078385664
11239a317a18a
12ba07040000
1359b4cb0a0a
142d55ba6c92
1518c72696c9
hexe388e3400

61078385664 has 110 divisors (see below), whose sum is σ = 182392248434. Its totient is φ = 20359434240.

The previous prime is 61078385657. The next prime is 61078385677. The reversal of 61078385664 is 46658387016.

61078385664 is a `hidden beast` number, since 6 + 1 + 0 + 78 + 3 + 8 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34506777600 + 26571608064 = 185760^2 + 163008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61078385664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 285247 + ... + 451134.

Almost surely, 261078385664 is an apocalyptic number.

61078385664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61078385664 is an abundant number, since it is smaller than the sum of its proper divisors (121313862770).

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

61078385664 is an equidigital number, since it uses as much as digits as its factorization.

61078385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736413 (or 736386 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 61078385664 in words is "sixty-one billion, seventy-eight million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 736381 1472762 2209143 2945524 4418286 5891048 6627429 8836572 11782096 13254858 17673144 19882287 23564192 26509716 35346288 39764574 47128384 53019432 59646861 70692576 79529148 94256768 106038864 119293722 141385152 159058296 188513536 212077728 238587444 282770304 318116592 377027072 424155456 477174888 565540608 636233184 754054144 848310912 954349776 1131081216 1272466368 1696621824 1908699552 2262162432 2544932736 3393243648 3817399104 5089865472 6786487296 7634798208 10179730944 15269596416 20359461888 30539192832 61078385664