Search a number
-
+
99921755661 = 37131759364919
BaseRepresentation
bin101110100001111001…
…1001111111000001101
3100112220201102010012020
41131003303033320031
53114114432140121
6113523050000353
710135103623620
oct1350363177015
9315821363166
1099921755661
1139416253a62
12174477160b9
139565545510
144b9c8d3db7
1528ec4311c6
hex1743ccfe0d

99921755661 has 64 divisors (see below), whose sum is σ = 176562892800. Its totient is φ = 48764722176.

The previous prime is 99921755651. The next prime is 99921755663. The reversal of 99921755661 is 16655712999.

It is not a de Polignac number, because 99921755661 - 218 = 99921493517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 99921755595 and 99921755604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99921755663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91360 + ... + 456278.

It is an arithmetic number, because the mean of its divisors is an integer number (2758795200).

Almost surely, 299921755661 is an apocalyptic number.

99921755661 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

99921755661 is a deficient number, since it is larger than the sum of its proper divisors (76641137139).

99921755661 is a wasteful number, since it uses less digits than its factorization.

99921755661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365018.

The product of its digits is 9185400, while the sum is 60.

It can be divided in two parts, 999217 and 55661, that added together give a triangular number (1054878 = T1452).

The spelling of 99921755661 in words is "ninety-nine billion, nine hundred twenty-one million, seven hundred fifty-five thousand, six hundred sixty-one".

Divisors: 1 3 7 13 17 21 39 51 59 91 119 177 221 273 357 413 663 767 1003 1239 1547 2301 3009 4641 5369 7021 13039 16107 21063 39117 91273 273819 364919 1094757 2554433 4743947 6203623 7663299 14231841 18610869 21530221 33207629 43425361 64590663 80647099 99622887 130276083 150711547 241941297 279892873 366013757 452134641 564529693 839678619 1098041271 1693589079 1959250111 2562096299 4758178841 5877750333 7686288897 14274536523 33307251887 99921755661