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990659911761 = 341324721812
BaseRepresentation
bin11100110101001111110…
…11101010000001010001
310111201001210101210010000
432122213323222001101
5112212332414134021
62035034120000213
7131400322212042
oct16324773520121
93451053353100
10990659911761
1135215576a403
1213bbb6000069
137255a222a00
1435d3bbc48c9
151ab817acb26
hexe6a7eea051

990659911761 has 135 divisors (see below), whose sum is σ = 1646384108193. Its totient is φ = 593369375040.

The previous prime is 990659911751. The next prime is 990659911831. The reversal of 990659911761 is 167119956099.

The square root of 990659911761 is 995319.

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 762993515025 + 227666396736 = 873495^2 + 477144^2 .

It is not a de Polignac number, because 990659911761 - 25 = 990659911729 is a prime.

It is a super-2 number, since 2×9906599117612 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990659911751) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5473259091 + ... + 5473259271.

Almost surely, 2990659911761 is an apocalyptic number.

990659911761 is the 995319-th square number.

990659911761 is the 497660-th centered octagonal number.

It is an amenable number.

990659911761 is a deficient number, since it is larger than the sum of its proper divisors (655724196432).

990659911761 is an equidigital number, since it uses as much as digits as its factorization.

990659911761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 63.

The spelling of 990659911761 in words is "nine hundred ninety billion, six hundred fifty-nine million, nine hundred eleven thousand, seven hundred sixty-one".

Divisors: 1 3 9 13 27 39 47 81 117 141 169 181 351 423 507 543 611 1053 1269 1521 1629 1833 2209 2353 3807 4563 4887 5499 6627 7059 7943 8507 13689 14661 16497 19881 21177 23829 25521 28717 30589 32761 49491 59643 63531 71487 76563 86151 91767 98283 110591 178929 190593 214461 229689 258453 275301 294849 331773 373321 399829 425893 643383 689067 775359 825903 884547 995319 1119963 1199487 1277679 1437683 1539767 2326077 2477709 2653641 2985957 3359889 3598461 3833037 4313049 4619301 5197777 5536609 8957871 10079667 10795383 11499111 12939147 13857903 15593331 16609827 20016971 30239001 32386149 34497333 38817441 41573709 46779993 49829481 60050913 67571101 72369049 116452323 124721127 140339979 149488443 180152739 202713303 217107147 260220623 421019937 448465329 540458217 608139909 651321441 780661869 940797637 1621374651 1824419727 1953964323 2341985607 2822392911 5473259181 5861892969 7025956821 8467178733 12230369281 21077870463 25401536199 36691107843 76204608597 110073323529 330219970587 990659911761