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992255544007744 = 262232176572
BaseRepresentation
bin1110000110011100110111111…
…1001110100001110001000000
311211010021200222220220112000011
43201213031333032201301000
52020024103323231221434
613434203523134234304
7416001045245344012
oct34147157716416100
94733250886815004
10992255544007744
112681882385a8735
1293355932055994
13337883b0ca3b63
14137055d307a1b2
1579aac9cc63e64
hex386737f3a1c40

992255544007744 has 63 divisors (see below), whose sum is σ = 1977988341014517. Its totient is φ = 493875011710464.

The previous prime is 992255544007709. The next prime is 992255544007807. The reversal of 992255544007744 is 447700445552299.

The square root of 992255544007744 is 31500088.

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

992255544007744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 118620851342400 + 873634692665344 = 10891320^2 + 29557312^2 .

It is a super-2 number, since 2×9922555440077442 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 992255544007744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56196148164 + ... + 56196165820.

Almost surely, 2992255544007744 is an apocalyptic number.

992255544007744 is the 31500088-th square number.

It is an amenable number.

992255544007744 is a deficient number, since it is larger than the sum of its proper divisors (985732797006773).

992255544007744 is an frugal number, since it uses more digits than its factorization.

992255544007744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35772 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 67.

The spelling of 992255544007744 in words is "nine hundred ninety-two trillion, two hundred fifty-five billion, five hundred forty-four million, seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 223 446 892 1784 3568 7136 14272 17657 35314 49729 70628 99458 141256 198916 282512 397832 565024 795664 1130048 1591328 3182656 3937511 7875022 15750044 31500088 63000176 126000352 252000704 311769649 623539298 878064953 1247078596 1756129906 2494157192 3512259812 4988314384 7024519624 9976628768 14049039248 19953257536 28098078496 56196156992 69524631727 139049263454 278098526908 556197053816 1112394107632 2224788215264 4449576430528 15503992875121 31007985750242 62015971500484 124031943000968 248063886001936 496127772003872 992255544007744