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107802611808 = 2535927768711
BaseRepresentation
bin110010001100110001…
…0010101000001100000
3101022020221122002110020
41210121202111001200
53231234432034213
6121305052033440
710534310036613
oct1443142250140
9338227562406
10107802611808
114179a844911
1218a86a62880
13a2201a12c8
14530942617a
152c0e244923
hex1919895060

107802611808 has 96 divisors (see below), whose sum is σ = 288821272320. Its totient is φ = 35197109760.

The previous prime is 107802611753. The next prime is 107802611857. The reversal of 107802611808 is 808116208701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1078026118082 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107802611808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534573 + ... + 1603283.

It is an arithmetic number, because the mean of its divisors is an integer number (3008554920).

Almost surely, 2107802611808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107802611808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144410636160).

107802611808 is an abundant number, since it is smaller than the sum of its proper divisors (181018660512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107802611808 is a wasteful number, since it uses less digits than its factorization.

107802611808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69060 (or 69052 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

The spelling of 107802611808 in words is "one hundred seven billion, eight hundred two million, six hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 277 354 472 554 708 831 944 1108 1416 1662 1888 2216 2832 3324 4432 5664 6648 8864 13296 16343 26592 32686 49029 65372 68711 98058 130744 137422 196116 206133 261488 274844 392232 412266 522976 549688 784464 824532 1099376 1568928 1649064 2198752 3298128 4053949 6596256 8107898 12161847 16215796 19032947 24323694 32431592 38065894 48647388 57098841 64863184 76131788 97294776 114197682 129726368 152263576 194589552 228395364 304527152 389179104 456790728 609054304 913581456 1122943873 1827162912 2245887746 3368831619 4491775492 6737663238 8983550984 13475326476 17967101968 26950652952 35934203936 53901305904 107802611808