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10378811760 = 243543245049
BaseRepresentation
bin10011010101010000…
…00001100101110000
3222210022120021011120
421222220001211300
5132223433434020
64433513542240
7515124305262
oct115250014560
928708507146
1010378811760
114446628989
122017a14980
13c95320845
147065adb32
1540b288740
hex26aa01970

10378811760 has 40 divisors (see below), whose sum is σ = 32174317200. Its totient is φ = 2767683072.

The previous prime is 10378811741. The next prime is 10378811771. The reversal of 10378811760 is 6711887301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21622285 + ... + 21622764.

It is an arithmetic number, because the mean of its divisors is an integer number (804357930).

Almost surely, 210378811760 is an apocalyptic number.

10378811760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10378811760 is an abundant number, since it is smaller than the sum of its proper divisors (21795505440).

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

10378811760 is a wasteful number, since it uses less digits than its factorization.

10378811760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43245065 (or 43245059 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 10378811760 in words is "ten billion, three hundred seventy-eight million, eight hundred eleven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 43245049 86490098 129735147 172980196 216225245 259470294 345960392 432450490 518940588 648675735 691920784 864900980 1037881176 1297351470 1729801960 2075762352 2594702940 3459603920 5189405880 10378811760