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107040806873 = 711131271495651
BaseRepresentation
bin110001110110000100…
…0010001011111011001
3101020021212011101112122
41203230020101133121
53223204421304443
6121101315551025
710506366563150
oct1435410213731
9336255141478
10107040806873
1141439821560
12188b38bb475
13a12b402560
1452761a0597
152bb7414968
hex18ec2117d9

107040806873 has 64 divisors (see below), whose sum is σ = 145848729600. Its totient is φ = 75860064000.

The previous prime is 107040806857. The next prime is 107040806893. The reversal of 107040806873 is 378608040701.

It is not a de Polignac number, because 107040806873 - 24 = 107040806857 is a prime.

It is a super-2 number, since 2×1070408068732 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107040806893) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18939098 + ... + 18944748.

It is an arithmetic number, because the mean of its divisors is an integer number (2278886400).

Almost surely, 2107040806873 is an apocalyptic number.

107040806873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107040806873 is a deficient number, since it is larger than the sum of its proper divisors (38807922727).

107040806873 is a wasteful number, since it uses less digits than its factorization.

107040806873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 107040806873 in words is "one hundred seven billion, forty million, eight hundred six thousand, eight hundred seventy-three".

Divisors: 1 7 11 13 77 91 127 143 149 889 1001 1043 1397 1639 1651 1937 5651 9779 11473 11557 13559 18161 18923 21307 39557 62161 73463 127127 132461 149149 208153 245999 435127 514241 717677 808093 841999 1457071 1721993 2705989 5023739 5656651 5893993 7894447 9261989 9329801 10945987 18941923 55261129 64833923 65308607 76621909 102627811 106933873 120405857 718394677 748537111 842840999 1176272603 1390140349 8233908221 9730982443 15291543839 107040806873