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107456191551 = 32194611363121
BaseRepresentation
bin110010000010011100…
…0110101110000111111
3101021100210210010012100
41210010320311300333
53230032241112201
6121210435040143
710522602362202
oct1440470656077
9337323703170
10107456191551
1141632245185
12189aaa40053
13a19649c5c7
1452b540b939
152bddb16886
hex1904e35c3f

107456191551 has 24 divisors (see below), whose sum is σ = 163738214640. Its totient is φ = 67719801600.

The previous prime is 107456191547. The next prime is 107456191559. The reversal of 107456191551 is 155191654701.

107456191551 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 6 + 1 + 91 + 551 = 666.

It is not a de Polignac number, because 107456191551 - 22 = 107456191547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107456191497 and 107456191506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107456191559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602730 + ... + 760391.

It is an arithmetic number, because the mean of its divisors is an integer number (6822425610).

Almost surely, 2107456191551 is an apocalyptic number.

107456191551 is a deficient number, since it is larger than the sum of its proper divisors (56282023089).

107456191551 is a wasteful number, since it uses less digits than its factorization.

107456191551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363607 (or 1363604 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 107456191551 in words is "one hundred seven billion, four hundred fifty-six million, one hundred ninety-one thousand, five hundred fifty-one".

Divisors: 1 3 9 19 57 171 461 1383 4149 8759 26277 78831 1363121 4089363 12268089 25899299 77697897 233093691 628398781 1885196343 5655589029 11939576839 35818730517 107456191551