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129291740352 = 2633412918121
BaseRepresentation
bin111100001101001100…
…0110110010011000000
3110100201120012221001000
41320122120312103000
54104242141142402
6135221254412000
712224653442265
oct1703230662300
9410646187030
10129291740352
114a9178a9185
1221083661000
13c266232a98
1463873c126c
15356aaadc1c
hex1e1a6364c0

129291740352 has 112 divisors (see below), whose sum is σ = 380206808800. Its totient is φ = 43084431360.

The previous prime is 129291740339. The next prime is 129291740377. The reversal of 129291740352 is 253047192921.

129291740352 is a `hidden beast` number, since 1 + 2 + 9 + 291 + 7 + 4 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 129291740298 and 129291740307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125852 + ... + 7143972.

It is an arithmetic number, because the mean of its divisors is an integer number (3394703650).

Almost surely, 2129291740352 is an apocalyptic number.

129291740352 is a gapful number since it is divisible by the number (12) 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 129291740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190103404400).

129291740352 is an abundant number, since it is smaller than the sum of its proper divisors (250915068448).

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

129291740352 is a wasteful number, since it uses less digits than its factorization.

129291740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22271 (or 22255 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 129291740352 in words is "one hundred twenty-nine billion, two hundred ninety-one million, seven hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4129 8258 12387 16516 18121 24774 33032 36242 37161 49548 54363 66064 72484 74322 99096 108726 111483 132128 144968 148644 163089 198192 217452 222966 264256 289936 297288 326178 396384 434904 445932 489267 579872 594576 652356 792768 869808 891864 978534 1159744 1189152 1304712 1739616 1783728 1957068 2378304 2609424 3479232 3567456 3914136 5218848 7134912 7828272 10437696 15656544 31313088 74821609 149643218 224464827 299286436 448929654 598572872 673394481 897859308 1197145744 1346788962 1795718616 2020183443 2394291488 2693577924 3591437232 4040366886 4788582976 5387155848 7182874464 8080733772 10774311696 14365748928 16161467544 21548623392 32322935088 43097246784 64645870176 129291740352