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1009866883340 = 225760781114653
BaseRepresentation
bin11101011001000001100…
…00011100000100001100
310120112122100201000212202
432230200300130010030
5113021201410231330
62051532040021032
7132650304606530
oct16544060340414
93515570630782
101009866883340
1135a31158a437
12143876461778
13742cb518a53
1436c40a37bc0
151b407acc445
hexeb20c1c10c

1009866883340 has 96 divisors (see below), whose sum is σ = 2430832717824. Its totient is φ = 345219874560.

The previous prime is 1009866883339. The next prime is 1009866883373. The reversal of 1009866883340 is 433886689001.

It is a super-2 number, since 2×10098668833402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68911454 + ... + 68926106.

It is an arithmetic number, because the mean of its divisors is an integer number (25321174144).

Almost surely, 21009866883340 is an apocalyptic number.

1009866883340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009866883340 is an abundant number, since it is smaller than the sum of its proper divisors (1420965834484).

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

1009866883340 is a wasteful number, since it uses less digits than its factorization.

1009866883340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 1009866883340 in words is "one trillion, nine billion, eight hundred sixty-six million, eight hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 607 811 1214 1622 2428 3035 3244 4055 4249 5677 6070 8110 8498 11354 12140 14653 16220 16996 21245 22708 28385 29306 42490 56770 58612 73265 84980 102571 113540 146530 205142 293060 410284 492277 512855 984554 1025710 1969108 2051420 2461385 3445939 4922770 6891878 8894371 9845540 11883583 13783756 17229695 17788742 23767166 34459390 35577484 44471855 47534332 59417915 62260597 68918780 83185081 88943710 118835830 124521194 166370162 177887420 237671660 249042388 311302985 332740324 415925405 622605970 831850810 1245211940 1663701620 7213334881 14426669762 28853339524 36066674405 50493344167 72133348810 100986688334 144266697620 201973376668 252466720835 504933441670 1009866883340