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107160006507060 = 223513222027479777
BaseRepresentation
bin11000010111011000100010…
…000111110011101000110100
3112001102101201002202020200010
4120113120202013303220310
5103021202143131211220
61015524343303020220
731400024600236623
oct3027304207635064
9461371632666603
10107160006507060
1131165338021511
12100283b143a670
1347a41b7178c00
141c668017736ba
15c5c7272e41e0
hex6176221f3a34

107160006507060 has 144 divisors (see below), whose sum is σ = 324919494559296. Its totient is φ = 26376595255296.

The previous prime is 107160006507049. The next prime is 107160006507157. The reversal of 107160006507060 is 60705600061701.

It is a super-2 number, since 2×1071600065070602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223113892 + ... + 223593668.

It is an arithmetic number, because the mean of its divisors is an integer number (2256385378884).

Almost surely, 2107160006507060 is an apocalyptic number.

107160006507060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107160006507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162459747279648).

107160006507060 is an abundant number, since it is smaller than the sum of its proper divisors (217759488052236).

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

107160006507060 is a wasteful number, since it uses less digits than its factorization.

107160006507060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501842 (or 501827 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

Adding to 107160006507060 its reverse (60705600061701), we get a palindrome (167865606568761).

The spelling of 107160006507060 in words is "one hundred seven trillion, one hundred sixty billion, six million, five hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 22027 44054 66081 88108 110135 132162 220270 264324 286351 330405 440540 479777 572702 660810 859053 959554 1145404 1321620 1431755 1439331 1718106 1919108 2398885 2863510 2878662 3436212 3722563 4295265 4797770 5727020 5757324 6237101 7196655 7445126 8590530 9595540 11167689 12474202 14393310 14890252 17181060 18612815 18711303 22335378 24948404 28786620 31185505 37225630 37422606 44670756 55838445 62371010 74451260 74845212 81082313 93556515 111676890 124742020 162164626 187113030 223353780 243246939 324329252 374226060 405411565 486493878 810823130 972987756 1216234695 1621646260 2432469390 4864938780 10568047979 21136095958 31704143937 42272191916 52840239895 63408287874 105680479790 126816575748 137384623727 158520719685 211360959580 274769247454 317041439370 412153871181 549538494908 634082878740 686923118635 824307742362 1373846237270 1648615484724 1786000108451 2060769355905 2747692474540 3572000216902 4121538711810 5358000325353 7144000433804 8243077423620 8930000542255 10716000650706 17860001084510 21432001301412 26790001626765 35720002169020 53580003253530 107160006507060