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991450352656 = 242327921372
BaseRepresentation
bin11100110110101110000…
…10111100110000010000
310111210002212202100011201
432123113002330300100
5112220442242241111
62035244353520544
7131426030643331
oct16332702746020
93453085670151
10991450352656
11352520971345
12140196873154
1372654c0990a
1435db4b82288
151abcad976c1
hexe6d70bcc10

991450352656 has 135 divisors (see below), whose sum is σ = 2048779593021. Its totient is φ = 464752434432.

The previous prime is 991450352617. The next prime is 991450352681. The reversal of 991450352656 is 656253054199.

The square root of 991450352656 is 995716.

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

It can be written as a sum of positive squares in only one way, i.e., 582382659600 + 409067693056 = 763140^2 + 639584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 991450352597 and 991450352606.

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 26 ways as a sum of consecutive naturals, for example, 7236863820 + ... + 7236863956.

Almost surely, 2991450352656 is an apocalyptic number.

991450352656 is the 995716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991450352656

991450352656 is an abundant number, since it is smaller than the sum of its proper divisors (1057329240365).

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

991450352656 is an equidigital number, since it uses as much as digits as its factorization.

991450352656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 55.

The spelling of 991450352656 in words is "nine hundred ninety-one billion, four hundred fifty million, three hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 79 92 137 158 184 274 316 368 529 548 632 1058 1096 1264 1817 2116 2192 3151 3634 4232 6241 6302 7268 8464 10823 12482 12604 14536 18769 21646 24964 25208 29072 37538 41791 43292 49928 50416 72473 75076 83582 86584 99856 143543 144946 150152 167164 173168 248929 287086 289892 300304 334328 431687 497858 574172 579784 668656 855017 863374 995716 1148344 1159568 1482751 1710034 1726748 1991432 2296688 2965502 3301489 3420068 3453496 3982864 5725367 5931004 6602978 6840136 6906992 9928801 11450734 11862008 13205956 13680272 19665391 19857602 22901468 23724016 26411912 34103273 39330782 39715204 45802936 52823824 68206546 78661564 79430408 91605872 117137329 136413092 157323128 158860816 234274658 272826184 314646256 452303993 468549316 545652368 784375279 904607986 937098632 1568750558 1809215972 1874197264 2694158567 3137501116 3618431944 5388317134 6275002232 7236863888 10776634268 12550004464 21553268536 43106537072 61965647041 123931294082 247862588164 495725176328 991450352656