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107963042208 = 253733278761
BaseRepresentation
bin110010010001100011…
…0010100100110100000
3101022200010111210120220
41210203012110212200
53232102014322313
6121333022403040
710541265501000
oct1444306244640
9338603453526
10107963042208
114187236061a
1218b10730480
13a2474b2938
145322868000
152c1d384823
hex19231949a0

107963042208 has 96 divisors (see below), whose sum is σ = 330499209600. Its totient is φ = 30846574080.

The previous prime is 107963042147. The next prime is 107963042227. The reversal of 107963042208 is 802240369701.

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 107963042208.

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, 1606453 + ... + 1672308.

It is an arithmetic number, because the mean of its divisors is an integer number (3442700100).

Almost surely, 2107963042208 is an apocalyptic number.

It is an amenable number.

107963042208 is an abundant number, since it is smaller than the sum of its proper divisors (222536167392).

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

107963042208 is an equidigital number, since it uses as much as digits as its factorization.

107963042208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278795 (or 3278773 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 107963042208 in words is "one hundred seven billion, nine hundred sixty-three million, forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 8232 10976 16464 32928 3278761 6557522 9836283 13115044 19672566 22951327 26230088 39345132 45902654 52460176 68853981 78690264 91805308 104920352 137707962 157380528 160659289 183610616 275415924 314761056 321318578 367221232 481977867 550831848 642637156 734442464 963955734 1101663696 1124615023 1285274312 1927911468 2203327392 2249230046 2570548624 3373845069 3855822936 4498460092 5141097248 6747690138 7711645872 8996920184 13495380276 15423291744 17993840368 26990760552 35987680736 53981521104 107963042208