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107463750163760 = 24510722435597047
BaseRepresentation
bin11000011011110011011010…
…101001111001110100110000
3112002111102201112000201222002
4120123303122221321310300
5103041141230020220020
61020320055411433132
731430666623564304
oct3033633251716460
9462442645021862
10107463750163760
1131272136436471
12100772405b57a8
1347c6a327754a3
141c773b7b7bd04
15c655a348e975
hex61bcdaa79d30

107463750163760 has 80 divisors (see below), whose sum is σ = 252300774502656. Its totient is φ = 42564773631744.

The previous prime is 107463750163753. The next prime is 107463750163787. The reversal of 107463750163760 is 67361057364701.

107463750163760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 107463750163696 and 107463750163705.

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, 16401557 + ... + 21998603.

Almost surely, 2107463750163760 is an apocalyptic number.

107463750163760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107463750163760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126150387251328).

107463750163760 is an abundant number, since it is smaller than the sum of its proper divisors (144837024338896).

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

107463750163760 is a wasteful number, since it uses less digits than its factorization.

107463750163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599410 (or 5599404 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 56.

The spelling of 107463750163760 in words is "one hundred seven trillion, four hundred sixty-three billion, seven hundred fifty million, one hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 2243 4280 4486 8560 8972 11215 17944 22430 35888 44860 89720 179440 240001 480002 960004 1200005 1920008 2400010 3840016 4800020 5597047 9600040 11194094 19200080 22388188 27985235 44776376 55970470 89552752 111940940 223881880 447763760 598884029 1197768058 2395536116 2994420145 4791072232 5988840290 9582144464 11977680580 12554176421 23955361160 25108352842 47910722320 50216705684 62770882105 100433411368 125541764210 200866822736 251083528420 502167056840 1004334113680 1343296877047 2686593754094 5373187508188 6716484385235 10746375016376 13432968770470 21492750032752 26865937540940 53731875081880 107463750163760