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9468260640 = 253352191727
BaseRepresentation
bin10001101000101101…
…00011000100100000
3220102212012110212000
420310112203010200
5123342333320030
64203305404000
7453426613266
oct106426430440
926385173760
109468260640
11401964a3a3
121a02a99600
13b7b7a17b7
1465b6a8436
153a6375860
hex2345a3120

9468260640 has 96 divisors (see below), whose sum is σ = 33138927360. Its totient is φ = 2524868352.

The previous prime is 9468260629. The next prime is 9468260677. The reversal of 9468260640 is 460628649.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091544 + ... + 1100183.

It is an arithmetic number, because the mean of its divisors is an integer number (345197160).

Almost surely, 29468260640 is an apocalyptic number.

9468260640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9468260640 is an abundant number, since it is smaller than the sum of its proper divisors (23670666720).

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

9468260640 is a wasteful number, since it uses less digits than its factorization.

9468260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191751 (or 2191737 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9468260640 is about 97304.9877447194. The cubic root of 9468260640 is about 2115.5505231548.

The spelling of 9468260640 in words is "nine billion, four hundred sixty-eight million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 2191727 4383454 6575181 8766908 10958635 13150362 17533816 19725543 21917270 26300724 32875905 35067632 39451086 43834540 52601448 59176629 65751810 70135264 78902172 87669080 98627715 105202896 118353258 131503620 157804344 175338160 197255430 210405792 236706516 263007240 295883145 315608688 350676320 394510860 473413032 526014480 591766290 631217376 789021720 946826064 1052028960 1183532580 1578043440 1893652128 2367065160 3156086880 4734130320 9468260640