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129078492544 = 2743731033119
BaseRepresentation
bin111100000110110101…
…1010111110110000000
3110100011200221211001001
41320031223113312000
54103323043230134
6135144200021344
712216454040461
oct1701553276600
9410150854031
10129078492544
114a818497a21
1221024161854
13c230cba851
146366d50d68
153556ed9414
hex1e0dad7d80

129078492544 has 128 divisors (see below), whose sum is σ = 269409254400. Its totient is φ = 61551415296.

The previous prime is 129078492539. The next prime is 129078492547. The reversal of 129078492544 is 445294870921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1290784925442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129078492547) 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, 41383017 + ... + 41386135.

It is an arithmetic number, because the mean of its divisors is an integer number (2104759800).

Almost surely, 2129078492544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129078492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134704627200).

129078492544 is an abundant number, since it is smaller than the sum of its proper divisors (140330761856).

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

129078492544 is a wasteful number, since it uses less digits than its factorization.

129078492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 129078492544 in words is "one hundred twenty-nine billion, seventy-eight million, four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 73 86 103 128 146 172 206 292 344 412 584 688 824 1168 1376 1648 2336 2752 3119 3139 3296 4429 4672 5504 6238 6278 6592 7519 8858 9344 12476 12556 13184 15038 17716 24952 25112 30076 35432 49904 50224 60152 70864 99808 100448 120304 134117 141728 199616 200896 227687 240608 268234 283456 321257 323317 399232 401792 455374 481216 536468 566912 642514 646634 910748 962432 1072936 1285028 1293268 1821496 2145872 2570056 2586536 3642992 4291744 5140112 5173072 7285984 8583488 9790541 10280224 10346144 13814051 14571968 17166976 19581082 20560448 20692288 23451761 27628102 29143936 39162164 41120896 41384576 46903522 55256204 78324328 93807044 110512408 156648656 187614088 221024816 313297312 375228176 442049632 626594624 750456352 884099264 1008425723 1253189248 1500912704 1768198528 2016851446 3001825408 4033702892 8067405784 16134811568 32269623136 64539246272 129078492544