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107973228384 = 2532753558149
BaseRepresentation
bin110010010001110110…
…1001011011101100000
3101022200211200022101200
41210203231023131200
53232112121302014
6121334025001200
710541451204210
oct1444355133540
9338624608350
10107973228384
114187808864a
1218b14023200
13a24963b168
145323d5a240
152c1e1e7a09
hex1923b4b760

107973228384 has 72 divisors (see below), whose sum is σ = 350912998800. Its totient is φ = 30849493248.

The previous prime is 107973228361. The next prime is 107973228397. The reversal of 107973228384 is 483822379701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107973228384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26777059 + ... + 26781090.

It is an arithmetic number, because the mean of its divisors is an integer number (4873791650).

Almost surely, 2107973228384 is an apocalyptic number.

107973228384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107973228384 is an abundant number, since it is smaller than the sum of its proper divisors (242939770416).

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

107973228384 is a wasteful number, since it uses less digits than its factorization.

107973228384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53558172 (or 53558161 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 107973228384 in words is "one hundred seven billion, nine hundred seventy-three million, two hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 53558149 107116298 160674447 214232596 321348894 374907043 428465192 482023341 642697788 749814086 856930384 964046682 1124721129 1285395576 1499628172 1713860768 1928093364 2249442258 2570791152 2999256344 3374163387 3856186728 4498884516 5141582304 5998512688 6748326774 7712373456 8997769032 11997025376 13496653548 15424746912 17995538064 26993307096 35991076128 53986614192 107973228384