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129570057680 = 24571931392827
BaseRepresentation
bin111100010101011111…
…0100010110111010000
3110101102221220220122012
41320222332202313100
54110324413321210
6135305040002052
712234603214130
oct1705276426720
9411387826565
10129570057680
114aa4aa130a8
1221140900328
13c2abaab5ab
1463b234cac0
153585238305
hex1e2afa2dd0

129570057680 has 160 divisors (see below), whose sum is σ = 374097960960. Its totient is φ = 40728199680.

The previous prime is 129570057679. The next prime is 129570057689. The reversal of 129570057680 is 86750075921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129570057689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133427 + ... + 526253.

It is an arithmetic number, because the mean of its divisors is an integer number (2338112256).

Almost surely, 2129570057680 is an apocalyptic number.

129570057680 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 129570057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187048980480).

129570057680 is an abundant number, since it is smaller than the sum of its proper divisors (244527903280).

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

129570057680 is a wasteful number, since it uses less digits than its factorization.

129570057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392897 (or 392891 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 129570057680 in words is "one hundred twenty-nine billion, five hundred seventy million, fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3472 4123 4340 4712 5320 5890 8246 8680 9424 10640 11780 16492 17360 20615 23560 32984 41230 47120 65968 82460 164920 329840 392827 785654 1571308 1964135 2749789 3142616 3928270 5499578 6285232 7463713 7856540 10999156 12177637 13748945 14927426 15713080 21998312 24355274 27497890 29854852 31426160 37318565 43996624 48710548 52245991 54995780 59709704 60888185 74637130 85243459 97421096 104491982 109991560 119419408 121776370 149274260 170486918 194842192 208983964 219983120 231375103 243552740 261229955 298548520 340973836 417967928 426217295 462750206 487105480 522459910 597097040 681947672 835935856 852434590 925500412 974210960 1044919820 1156875515 1363895344 1619625721 1704869180 1851000824 2089839640 2313751030 3239251442 3409738360 3702001648 4179679280 4627502060 6478502884 6819476720 8098128605 9255004120 12957005768 16196257210 18510008240 25914011536 32392514420 64785028840 129570057680