Search a number
-
+
21376475959200 = 2535212071737873
BaseRepresentation
bin1001101110001000110010…
…10000011000111110100000
32210200120102100211012201020
410313010121100120332200
510300213010321143300
6113244114551005440
74334254000436415
oct467043120307640
983616370735636
1021376475959200
1168a179243929a
122492aa2669880
13bc0a403a9c2b
1453c8ac52610c
152710b7bbe8a0
hex137119418fa0

21376475959200 has 144 divisors (see below), whose sum is σ = 69586287817536. Its totient is φ = 5699913625600.

The previous prime is 21376475959183. The next prime is 21376475959207. The reversal of 21376475959200 is 295957467312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (21376475959207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28601464 + ... + 29339336.

It is an arithmetic number, because the mean of its divisors is an integer number (483238109844).

Almost surely, 221376475959200 is an apocalyptic number.

21376475959200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21376475959200 is an abundant number, since it is smaller than the sum of its proper divisors (48209811858336).

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

21376475959200 is a wasteful number, since it uses less digits than its factorization.

21376475959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749967 (or 749954 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 21376475959200 in words is "twenty-one trillion, three hundred seventy-six billion, four hundred seventy-five million, nine hundred fifty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 12071 24142 36213 48284 60355 72426 96568 120710 144852 181065 193136 241420 289704 301775 362130 386272 482840 579408 603550 724260 737873 905325 965680 1158816 1207100 1448520 1475746 1810650 1931360 2213619 2414200 2897040 2951492 3621300 3689365 4427238 4828400 5794080 5902984 7242600 7378730 8854476 9656800 11068095 11805968 14485200 14757460 17708952 18446825 22136190 23611936 28970400 29514920 35417904 36893650 44272380 55340475 59029840 70835808 73787300 88544760 110680950 118059680 147574600 177089520 221361900 295149200 354179040 442723800 590298400 885447600 1770895200 8906864983 17813729966 26720594949 35627459932 44534324915 53441189898 71254919864 89068649830 106882379796 133602974745 142509839728 178137299660 213764759592 222671624575 267205949490 285019679456 356274599320 427529519184 445343249150 534411898980 668014873725 712549198640 855059038368 890686498300 1068823797960 1336029747450 1425098397280 1781372996600 2137647595920 2672059494900 3562745993200 4275295191840 5344118989800 7125491986400 10688237979600 21376475959200