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23125718880 = 25325111459957
BaseRepresentation
bin10101100010011001…
…100111011101100000
32012200200010020110200
4111202121213131200
5334330141001010
614342424225200
71446035236635
oct254231473540
965620106420
1023125718880
119897957970
12459490b200
132247139134
14119549618c
15905394cc0
hex562667760

23125718880 has 144 divisors (see below), whose sum is σ = 86090803344. Its totient is φ = 5606231040.

The previous prime is 23125718867. The next prime is 23125718887. The reversal of 23125718880 is 8881752132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23125718887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 714139 + ... + 745818.

It is an arithmetic number, because the mean of its divisors is an integer number (597852801).

Almost surely, 223125718880 is an apocalyptic number.

23125718880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23125718880 is an abundant number, since it is smaller than the sum of its proper divisors (62965084464).

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

23125718880 is a wasteful number, since it uses less digits than its factorization.

23125718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459989 (or 1459978 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 23125718880 in words is "twenty-three billion, one hundred twenty-five million, seven hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1459957 2919914 4379871 5839828 7299785 8759742 11679656 13139613 14599570 16059527 17519484 21899355 23359312 26279226 29199140 32119054 35038968 43798710 46718624 48178581 52558452 58398280 64238108 65698065 70077936 80297635 87597420 96357162 105116904 116796560 128476216 131396130 140155872 144535743 160595270 175194840 192714324 210233808 233593120 240892905 256952432 262792260 289071486 321190540 350389680 385428648 420467616 481785810 513904864 525584520 578142972 642381080 700779360 722678715 770857296 963571620 1051169040 1156285944 1284762160 1445357430 1541714592 1927143240 2102338080 2312571888 2569524320 2890714860 3854286480 4625143776 5781429720 7708572960 11562859440 23125718880