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107688800817 = 321313711036091
BaseRepresentation
bin110010001001011000…
…0001011001000110001
3101021222000110220010100
41210102300023020301
53231021313111232
6121245504423013
710531425463263
oct1442260131061
9337860426110
10107688800817
114174157aa44
1218a54917a69
13a202733420
1452d827bb33
152c04262c7c
hex1912c0b231

107688800817 has 48 divisors (see below), whose sum is σ = 168919365888. Its totient is φ = 65715874560.

The previous prime is 107688800809. The next prime is 107688800819. The reversal of 107688800817 is 718008886701.

It is a happy number.

It is not a de Polignac number, because 107688800817 - 23 = 107688800809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107688800819) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17676942 + ... + 17683032.

It is an arithmetic number, because the mean of its divisors is an integer number (3519153456).

Almost surely, 2107688800817 is an apocalyptic number.

It is an amenable number.

107688800817 is a deficient number, since it is larger than the sum of its proper divisors (61230565071).

107688800817 is a wasteful number, since it uses less digits than its factorization.

107688800817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 107688800817 in words is "one hundred seven billion, six hundred eighty-eight million, eight hundred thousand, eight hundred seventeen".

Divisors: 1 3 9 13 39 117 137 411 1103 1233 1781 3309 5343 6091 9927 14339 16029 18273 43017 54819 79183 129051 151111 237549 453333 712647 834467 1359999 1964443 2503401 5893329 6718373 7510203 10848071 17679987 20155119 32544213 60465357 87338849 97632639 262016547 786049641 920417101 2761251303 8283753909 11965422313 35896266939 107688800817