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107760429673 = 1311373356317
BaseRepresentation
bin110010001011100000…
…1011010101001101001
3101022011000021000102221
41210113001122221221
53231143132222143
6121300543554041
710533255352621
oct1442701325151
9338130230387
10107760429673
1141778a53846
1218a748bb921
13a214522470
1453039a5881
152c0a6b12ed
hex191705aa69

107760429673 has 8 divisors (see below), whose sum is σ = 117076683528. Its totient is φ = 98590888704.

The previous prime is 107760429649. The next prime is 107760429691. The reversal of 107760429673 is 376924067701.

It can be written as a sum of positive squares in 4 ways, for example, as 15339565609 + 92420864064 = 123853^2 + 304008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107760429673 - 25 = 107760429641 is a prime.

It is a super-2 number, since 2×1077604296732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107760429673.

It is not an unprimeable number, because it can be changed into a prime (107760420673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36676690 + ... + 36679627.

It is an arithmetic number, because the mean of its divisors is an integer number (14634585441).

Almost surely, 2107760429673 is an apocalyptic number.

107760429673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107760429673 is a deficient number, since it is larger than the sum of its proper divisors (9316253855).

107760429673 is a wasteful number, since it uses less digits than its factorization.

107760429673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73356443.

The product of its (nonzero) digits is 2667168, while the sum is 52.

The spelling of 107760429673 in words is "one hundred seven billion, seven hundred sixty million, four hundred twenty-nine thousand, six hundred seventy-three".

Divisors: 1 13 113 1469 73356317 953632121 8289263821 107760429673