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107734067441 = 71113211297333
BaseRepresentation
bin110010001010101110…
…0110110100011110001
3101022002011122200020222
41210111130312203301
53231114410124231
6121254202542425
710532515315040
oct1442534664361
9338064580228
10107734067441
1141765088480
1218a67b07a15
13a20bc22200
1453002a2557
152c0820527b
hex19157368f1

107734067441 has 48 divisors (see below), whose sum is σ = 145593394560. Its totient is φ = 77411842560.

The previous prime is 107734067431. The next prime is 107734067443. The reversal of 107734067441 is 144760437701.

It is a de Polignac number, because none of the positive numbers 2k-107734067441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107734067392 and 107734067401.

It is not an unprimeable number, because it can be changed into a prime (107734067443) 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 47 ways as a sum of consecutive naturals, for example, 14688011 + ... + 14695343.

It is an arithmetic number, because the mean of its divisors is an integer number (3033195720).

Almost surely, 2107734067441 is an apocalyptic number.

107734067441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107734067441 is a deficient number, since it is larger than the sum of its proper divisors (37859327119).

107734067441 is a wasteful number, since it uses less digits than its factorization.

107734067441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 107734067441 in words is "one hundred seven billion, seven hundred thirty-four million, sixty-seven thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 143 169 1001 1129 1183 1859 7333 7903 12419 13013 14677 51331 80663 86933 95329 102739 161447 190801 564641 667303 1048619 1130129 1239277 1335607 2098811 7340333 8278957 8674939 13632047 14691677 57952699 91068527 95424329 107626441 637479689 753385087 1183890851 1399143733 8287235957 9794006131 15390581063 107734067441