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129382530137856 = 2832257218504327
BaseRepresentation
bin11101011010110000110111…
…101111111011111100000000
3121222002211220222112021200100
4131122300313233323330000
5113424300410203402411
61135101302551522400
736152402465366652
oct3532606757737400
9558084828467610
10129382530137856
11382529062a3736
121261724b689400
1357269494a2158
1423d420da8a6d2
15ee580ab90456
hex75ac37bfbf00

129382530137856 has 108 divisors (see below), whose sum is σ = 374493256733232. Its totient is φ = 42959698526208.

The previous prime is 129382530137789. The next prime is 129382530137863. The reversal of 129382530137856 is 658731035283921.

129382530137856 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 8 + 2 + 530 + 13 + 7 + 85 + 6 = 666.

It is a super-2 number, since 2×1293825301378562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129382530137793 and 129382530137802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108660036 + ... + 109844291.

Almost surely, 2129382530137856 is an apocalyptic number.

129382530137856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129382530137856 is an abundant number, since it is smaller than the sum of its proper divisors (245110726595376).

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

129382530137856 is a wasteful number, since it uses less digits than its factorization.

129382530137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218504606 (or 218504589 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 129382530137856 in words is "one hundred twenty-nine trillion, three hundred eighty-two billion, five hundred thirty million, one hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 514 576 768 771 1028 1152 1542 2056 2304 2313 3084 4112 4626 6168 8224 9252 12336 16448 18504 24672 32896 37008 49344 65792 74016 98688 148032 197376 296064 592128 218504327 437008654 655512981 874017308 1311025962 1748034616 1966538943 2622051924 3496069232 3933077886 5244103848 6992138464 7866155772 10488207696 13984276928 15732311544 20976415392 27968553856 31464623088 41952830784 55937107712 56155612039 62929246176 83905661568 112311224078 125858492352 167811323136 168466836117 224622448156 251716984704 336933672234 449244896312 503433969408 505400508351 673867344468 898489792624 1010801016702 1347734688936 1796979585248 2021602033404 2695469377872 3593959170496 4043204066808 5390938755744 7187918340992 8086408133616 10781877511488 14375836681984 16172816267232 21563755022976 32345632534464 43127510045952 64691265068928 129382530137856