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23969474514769 = 7219213122812
BaseRepresentation
bin1010111001100110101000…
…00000111000111101010001
310010212110101220001212222211
411130303110000320331101
511120203440433433034
6122551231413032121
75022510631466200
oct534632400707521
9103773356055884
1023969474514769
117701440531863
122831540625641
13104b408bab274
145cc1b3445237
152b877b017d64
hex15ccd4038f51

23969474514769 has 81 divisors (see below), whose sum is σ = 29759873554683. Its totient is φ = 19246616625600.

The previous prime is 23969474514737. The next prime is 23969474514809. The reversal of 23969474514769 is 96741547496932.

The square root of 23969474514769 is 4895863.

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

It can be written as a sum of positive squares in only one way, i.e., 16198314732369 + 7771159782400 = 4024713^2 + 2787680^2 .

It is not a de Polignac number, because 23969474514769 - 25 = 23969474514737 is a prime.

It is a super-2 number, since 2×239694745147692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23969474514695 and 23969474514704.

It is not an unprimeable number, because it can be changed into a prime (23969474514719) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85300620909 + ... + 85300621189.

Almost surely, 223969474514769 is an apocalyptic number.

23969474514769 is the 4895863-rd square number.

23969474514769 is the 2447932-nd centered octagonal number.

It is an amenable number.

23969474514769 is a deficient number, since it is larger than the sum of its proper divisors (5790399039914).

23969474514769 is an frugal number, since it uses more digits than its factorization.

23969474514769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 76.

The spelling of 23969474514769 in words is "twenty-three trillion, nine hundred sixty-nine billion, four hundred seventy-four million, five hundred fourteen thousand, seven hundred sixty-nine".

Divisors: 1 7 19 49 131 133 281 361 917 931 1967 2489 2527 5339 6419 13769 17161 17423 17689 36811 37373 47291 78961 101441 120127 121961 257677 261611 326059 331037 552727 699409 710087 840889 1500259 1803739 2282413 2317259 3869089 4822241 4895863 4970609 6195121 10343891 10501813 13288771 15976891 28504921 33755687 34271041 43365847 72407237 73512691 91622579 93021397 196533929 199534447 236289809 303560929 506850659 641358053 651149779 1355049721 1375737503 1396741129 1740829001 3734144651 4489506371 9485348047 9630162521 12185803007 25745944699 26139012557 66397436329 85300621049 180221612893 182973087899 489172949281 1261551290251 3424210644967 23969474514769