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129362155104 = 25371314807939
BaseRepresentation
bin111100001111010010…
…1011101011001100000
3110100220110201100220210
41320132211131121200
54104413202430404
6135232251534120
712226500114150
oct1703645353140
9410813640823
10129362155104
114a953622896
12210a315a340
13c2779b8310
1463928b0760
153571d6c689
hex1e1e95d660

129362155104 has 96 divisors (see below), whose sum is σ = 417939298560. Its totient is φ = 34117489152.

The previous prime is 129362155103. The next prime is 129362155127. The reversal of 129362155104 is 401551263921.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129362155103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7395234 + ... + 7412705.

It is an arithmetic number, because the mean of its divisors is an integer number (4353534360).

Almost surely, 2129362155104 is an apocalyptic number.

129362155104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129362155104 is an abundant number, since it is smaller than the sum of its proper divisors (288577143456).

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

129362155104 is a wasteful number, since it uses less digits than its factorization.

129362155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807972 (or 14807964 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 129362155104 in words is "one hundred twenty-nine billion, three hundred sixty-two million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 14807939 29615878 44423817 59231756 88847634 103655573 118463512 177695268 192503207 207311146 236927024 310966719 355390536 385006414 414622292 473854048 577509621 621933438 710781072 770012828 829244584 1155019242 1243866876 1347522449 1421562144 1540025656 1658489168 2310038484 2487733752 2695044898 3080051312 3316978336 4042567347 4620076968 4975467504 5390089796 6160102624 8085134694 9240153936 9950935008 10780179592 16170269388 18480307872 21560359184 32340538776 43120718368 64681077552 129362155104