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147129449760 = 2534511352581
BaseRepresentation
bin1000100100000110011…
…0010011110100100000
3112001202201000110020000
42021001212103310200
54402310114343020
6151331302420000
713426001455056
oct2110146236440
9461681013200
10147129449760
1157440814287
1224621431600
1310b49950117
14719a4441d6
153c61aab090
hex2241993d20

147129449760 has 120 divisors (see below), whose sum is σ = 519244395516. Its totient is φ = 39234516480.

The previous prime is 147129449737. The next prime is 147129449813. The reversal of 147129449760 is 67944921741.

147129449760 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 2 + 94 + 497 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146967956496 + 161493264 = 383364^2 + 12708^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 147129449697 and 147129449706.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5663331 + ... + 5689250.

Almost surely, 2147129449760 is an apocalyptic number.

147129449760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147129449760 is an abundant number, since it is smaller than the sum of its proper divisors (372114945756).

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

147129449760 is a wasteful number, since it uses less digits than its factorization.

147129449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352608 (or 11352591 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 147129449760 in words is "one hundred forty-seven billion, one hundred twenty-nine million, four hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 11352581 22705162 34057743 45410324 56762905 68115486 90820648 102173229 113525810 136230972 170288715 181641296 204346458 227051620 272461944 306519687 340577430 363282592 408692916 454103240 510866145 544923888 613039374 681154860 817385832 908206480 919559061 1021732290 1089847776 1226078748 1362309720 1532598435 1634771664 1816412960 1839118122 2043464580 2452157496 2724619440 3065196870 3269543328 3678236244 4086929160 4597795305 4904314992 5449238880 6130393740 7356472488 8173858320 9195590610 9808629984 12260787480 14712944976 16347716640 18391181220 24521574960 29425889952 36782362440 49043149920 73564724880 147129449760