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23068331840 = 265411758257
BaseRepresentation
bin10101011110111110…
…101100111101000000
32012112200010200020202
4111132332230331000
5334220443104330
614333014224332
71444440404531
oct253676547500
965480120222
1023068331840
119868521164
1245796550a8
1322382955c8
14118b9d8688
1590030b445
hex55efacf40

23068331840 has 56 divisors (see below), whose sum is σ = 56271289032. Its totient is φ = 9002270720.

The previous prime is 23068331773. The next prime is 23068331843. The reversal of 23068331840 is 4813386032.

It can be written as a sum of positive squares in 4 ways, for example, as 2417492224 + 20650839616 = 49168^2 + 143704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23068331794 and 23068331803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23068331843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866009 + ... + 892248.

It is an arithmetic number, because the mean of its divisors is an integer number (1004844447).

Almost surely, 223068331840 is an apocalyptic number.

23068331840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23068331840 is an abundant number, since it is smaller than the sum of its proper divisors (33202957192).

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

23068331840 is a wasteful number, since it uses less digits than its factorization.

23068331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758315 (or 1758305 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 23068331840 in words is "twenty-three billion, sixty-eight million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 1758257 3516514 7033028 8791285 14066056 17582570 28132112 35165140 56264224 70330280 72088537 112528448 140660560 144177074 281321120 288354148 360442685 562642240 576708296 720885370 1153416592 1441770740 2306833184 2883541480 4613666368 5767082960 11534165920 23068331840