Search a number
-
+
23165219276676 = 2232232348772
BaseRepresentation
bin1010100010001100100101…
…01010101000011110000100
310001000120110221221122201100
411101012102222220132010
511014014332113323201
6121133542124100100
74610426504661201
oct521062252503604
9101016427848640
1023165219276676
117421350402774
1227216a9094630
13cc0617485539
145a12b9cc8ca8
152a28a9384886
hex151192aa8784

23165219276676 has 81 divisors (see below), whose sum is σ = 61214910472261. Its totient is φ = 7385800170144.

The previous prime is 23165219276611. The next prime is 23165219276707. The reversal of 23165219276676 is 67667291256132.

The square root of 23165219276676 is 4813026.

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

23165219276676 is a `hidden beast` number, since 2 + 3 + 16 + 521 + 9 + 27 + 6 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17884525580100 + 5280693696576 = 4229010^2 + 2297976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 664180150 + ... + 664215026.

Almost surely, 223165219276676 is an apocalyptic number.

23165219276676 is the 4813026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23165219276676

23165219276676 is an abundant number, since it is smaller than the sum of its proper divisors (38049691195585).

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

23165219276676 is an frugal number, since it uses more digits than its factorization.

23165219276676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69810 (or 34905 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 23165219276676 in words is "twenty-three trillion, one hundred sixty-five billion, two hundred nineteen million, two hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 34877 69754 104631 139508 209262 313893 418524 627786 802171 1255572 1604342 2406513 3208684 4813026 7219539 9626052 14439078 18449933 28878156 36899866 55349799 73799732 110699598 166049397 221399196 332098794 664197588 1216405129 2432810258 3649215387 4865620516 7298430774 10947646161 14596861548 21895292322 27977317967 43790584644 55954635934 83931953901 111909271868 167863907802 251795861703 335727815604 503591723406 643478313241 1007183446812 1286956626482 1930434939723 2573913252964 3860869879446 5791304819169 7721739758892 11582609638338 23165219276676