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99980542809 = 36742392
BaseRepresentation
bin101110100011101001…
…1100000001101011001
3100120001211000211000000
41131013103200031121
53114230004332214
6113532550003213
710136416410000
oct1350723401531
9316054024000
1099980542809
1139446456684
1217463346509
139574789404
144ba6637c37
152902694809
hex17474e0359

99980542809 has 105 divisors (see below), whose sum is σ = 175610299973. Its totient is φ = 56892693816.

The previous prime is 99980542807. The next prime is 99980542811. The reversal of 99980542809 is 90824508999.

The square root of 99980542809 is 316197.

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

99980542809 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 0 + 542 + 80 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (99980542807) and next prime (99980542811).

It is not a de Polignac number, because 99980542809 - 21 = 99980542807 is a prime.

It is a super-2 number, since 2×999805428092 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99980542807) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 418328512 + ... + 418328750.

Almost surely, 299980542809 is an apocalyptic number.

99980542809 is the 316197-th square number.

99980542809 is the 158099-th centered octagonal number.

It is an amenable number.

99980542809 is a deficient number, since it is larger than the sum of its proper divisors (75629757164).

99980542809 is an frugal number, since it uses more digits than its factorization.

99980542809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 99980542809 in words is "ninety-nine billion, nine hundred eighty million, five hundred forty-two thousand, eight hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 239 243 343 441 567 717 729 1029 1323 1673 1701 2151 2401 3087 3969 5019 5103 6453 7203 9261 11711 11907 15057 19359 21609 27783 35133 35721 45171 57121 58077 64827 81977 83349 105399 135513 171363 174231 194481 245931 250047 316197 399847 406539 514089 573839 583443 737793 948591 1199541 1219617 1542267 1721517 1750329 2213379 2798929 2845773 3598623 4626801 5164551 6640137 8396787 8537319 10795869 13880403 15493653 19592503 19920411 25190361 32387607 41641209 46480959 58777509 59761233 75571083 97162821 137147521 139442877 176332527 226713249 291488463 411442563 418328631 528997581 680139747 1234327689 1586992743 2040419241 3702983067 4760978229 11108949201 14282934687 33326847603 99980542809