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71148114136710 = 232513436071394509
BaseRepresentation
bin10000001011010101110110…
…000100011100111010000110
3100022220200201101220221001200
4100023111312010130322012
533311142314204333320
6411152554210003330
720662165410542442
oct2013256604347206
9308820641827050
1071148114136710
112074082266a166
127b90b93576546
13309131392a850
14137d830dd5822
15835ad44c2290
hex40b57611ce86

71148114136710 has 96 divisors (see below), whose sum is σ = 199219430854080. Its totient is φ = 17512967764224.

The previous prime is 71148114136663. The next prime is 71148114136711. The reversal of 71148114136710 is 1763141184117.

71148114136710 is a `hidden beast` number, since 7 + 1 + 148 + 1 + 141 + 367 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71148114136711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50322936 + ... + 51717444.

It is an arithmetic number, because the mean of its divisors is an integer number (2075202404730).

Almost surely, 271148114136710 is an apocalyptic number.

71148114136710 is an abundant number, since it is smaller than the sum of its proper divisors (128071316717370).

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

71148114136710 is a wasteful number, since it uses less digits than its factorization.

71148114136710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438142 (or 1438139 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 71148114136710 in words is "seventy-one trillion, one hundred forty-eight billion, one hundred fourteen million, one hundred thirty-six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 43607 87214 130821 218035 261642 392463 436070 566891 654105 784926 1133782 1308210 1394509 1700673 1962315 2789018 2834455 3401346 3924630 4183527 5102019 5668910 6972545 8367054 8503365 10204038 12550581 13945090 17006730 18128617 20917635 25101162 25510095 36257234 41835270 51020190 54385851 62752905 90643085 108771702 125505810 163157553 181286170 271929255 326315106 543858510 815787765 1631575530 60810353963 121620707926 182431061889 304051769815 364862123778 547293185667 608103539630 790534601519 912155309445 1094586371334 1581069203038 1824310618890 2371603804557 2736465928335 3952673007595 4743207609114 5472931856670 7114811413671 7905346015190 11858019022785 14229622827342 23716038045570 35574057068355 71148114136710