Search a number
-
+
23069100876 = 223191814311297
BaseRepresentation
bin10101011111000001…
…101000101101001100
32012112201120202011120
4111133001220231030
5334221142212001
614333042520540
71444450056603
oct253701505514
965481522146
1023069100876
1198689a6a28
124579966150
1322384a4663
14118bb58a3a
1590040e236
hex55f068b4c

23069100876 has 96 divisors (see below), whose sum is σ = 57150213120. Its totient is φ = 7222348800.

The previous prime is 23069100869. The next prime is 23069100883. The reversal of 23069100876 is 67800196032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23069100869) and next prime (23069100883).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17785860 + ... + 17787156.

It is an arithmetic number, because the mean of its divisors is an integer number (595314720).

Almost surely, 223069100876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23069100876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28575106560).

23069100876 is an abundant number, since it is smaller than the sum of its proper divisors (34081112244).

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

23069100876 is a wasteful number, since it uses less digits than its factorization.

23069100876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 23069100876 in words is "twenty-three billion, sixty-nine million, one hundred thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 431 543 724 862 1086 1293 1297 1724 2172 2586 2594 3439 3891 5172 5188 6878 7782 8189 10317 13756 15564 16378 20634 24567 24643 32756 41268 49134 49286 73929 78011 98268 98572 147858 156022 234033 234757 295716 312044 468066 469514 559007 704271 936132 939028 1118014 1408542 1482209 1677021 2236028 2817084 2964418 3354042 4446627 4460383 5928836 6708084 8893254 8920766 10621133 13381149 17786508 17841532 21242266 26762298 31863399 42484532 53524596 63726798 101180267 127453596 202360534 303540801 404721068 607081602 1214163204 1922425073 3844850146 5767275219 7689700292 11534550438 23069100876