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55787215799056 = 247261243732
BaseRepresentation
bin11001010111100111110010…
…01011100100001100010000
321022112012112222200102201211
430223303321023210030100
524303004204221032211
6314352143152305504
714515331133156400
oct1453637113441420
9238465488612654
1055787215799056
1116859252a48a15
12630bb29842294
132518933cbb461
14dac1894c2800
1566b24814be21
hex32bcf92e4310

55787215799056 has 135 divisors (see below), whose sum is σ = 127858960581183. Its totient is φ = 23511481378560.

The previous prime is 55787215799041. The next prime is 55787215799093. The reversal of 55787215799056 is 65099751278755.

The square root of 55787215799056 is 7469084.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14215463715600 + 41571752083456 = 3770340^2 + 6447616^2 .

It is a super-2 number, since 2×557872157990562 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12757193286 + ... + 12757197658.

Almost surely, 255787215799056 is an apocalyptic number.

55787215799056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55787215799056 is the 7469084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55787215799056

55787215799056 is an abundant number, since it is smaller than the sum of its proper divisors (72071744782127).

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

55787215799056 is an frugal number, since it uses more digits than its factorization.

55787215799056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 1666980000, while the sum is 76.

The spelling of 55787215799056 in words is "fifty-five trillion, seven hundred eighty-seven billion, two hundred fifteen million, seven hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2989 3416 3721 4373 5978 6832 7442 8746 11956 14884 17492 23912 26047 29768 30611 34984 47824 52094 59536 61222 69968 104188 122444 182329 208376 214277 244888 266753 364658 416752 428554 489776 533506 729316 857108 1067012 1458632 1714216 1867271 2134024 2917264 3428432 3734542 4268048 7469084 13070897 14938168 16271933 19123129 26141794 29876336 32543866 38246258 52283588 65087732 76492516 104567176 113903531 130175464 133861903 152985032 209134352 227807062 260350928 267723806 305970064 455614124 535447612 797324717 911228248 937033321 1070895224 1166510869 1594649434 1822456496 1874066642 2141790448 2333021738 3189298868 3748133284 4666043476 6378597736 7496266568 8165576083 9332086952 12757195472 14992533136 16331152166 18664173904 32662304332 57159032581 65324608664 71157163009 114318065162 130649217328 142314326018 228636130324 284628652036 457272260648 498100141063 569257304072 914544521296 996200282126 1138514608144 1992400564252 3486700987441 3984801128504 6973401974882 7969602257008 13946803949764 27893607899528 55787215799056