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107139009480 = 233531197146197
BaseRepresentation
bin110001111000111111…
…0111000101111001000
3101020112200221121012020
41203301332320233020
53223410041300410
6121115144444440
710512001361136
oct1436176705710
9336480847166
10107139009480
114148a1a5638
1218920779720
13a145866bc9
145285244756
152bc0d61a70
hex18f1fb8bc8

107139009480 has 128 divisors (see below), whose sum is σ = 333471790080. Its totient is φ = 27508239360.

The previous prime is 107139009463. The next prime is 107139009491. The reversal of 107139009480 is 84900931701.

It is a happy number.

107139009480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1071390094802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659742 + ... + 805938.

It is an arithmetic number, because the mean of its divisors is an integer number (2605248360).

Almost surely, 2107139009480 is an apocalyptic number.

107139009480 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 107139009480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166735895040).

107139009480 is an abundant number, since it is smaller than the sum of its proper divisors (226332780600).

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

107139009480 is a wasteful number, since it uses less digits than its factorization.

107139009480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146439 (or 146435 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 107139009480 in words is "one hundred seven billion, one hundred thirty-nine million, nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 197 248 310 372 394 465 591 620 744 788 930 985 1182 1240 1576 1860 1970 2364 2955 3720 3940 4728 5910 6107 7880 11820 12214 18321 23640 24428 30535 36642 48856 61070 73284 91605 122140 146197 146568 183210 244280 292394 366420 438591 584788 730985 732840 877182 1169576 1461970 1754364 2192955 2923940 3508728 4385910 4532107 5847880 8771820 9064214 13596321 17543640 18128428 22660535 27192642 28800809 36256856 45321070 54385284 57601618 67981605 86402427 90642140 108770568 115203236 135963210 144004045 172804854 181284280 230406472 271926420 288008090 345609708 432012135 543852840 576016180 691219416 864024270 892825079 1152032360 1728048540 1785650158 2678475237 3456097080 3571300316 4464125395 5356950474 7142600632 8928250790 10713900948 13392376185 17856501580 21427801896 26784752370 35713003160 53569504740 107139009480