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71851369968 = 24327312299391
BaseRepresentation
bin100001011101010101…
…1001110010111110000
320212110110000210000200
41002322223032113300
52134122422314333
653001424115200
75122354365510
oct1027253162760
9225413023020
1071851369968
11285212527a4
1211b12a65b00
136a10b82541
143698861840
151d07e14c13
hex10baace5f0

71851369968 has 120 divisors (see below), whose sum is σ = 237223673856. Its totient is φ = 19866729600.

The previous prime is 71851369957. The next prime is 71851369973. The reversal of 71851369968 is 86996315817.

71851369968 is a `hidden beast` number, since 7 + 185 + 1 + 369 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1118448 + ... + 1180943.

Almost surely, 271851369968 is an apocalyptic number.

It is an amenable number.

71851369968 is an abundant number, since it is smaller than the sum of its proper divisors (165372303888).

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

71851369968 is a wasteful number, since it uses less digits than its factorization.

71851369968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299443 (or 2299434 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 71851369968 in words is "seventy-one billion, eight hundred fifty-one million, three hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 2299391 4598782 6898173 9197564 13796346 16095737 18395128 20694519 27592692 32191474 36790256 41389038 48287211 55185384 64382948 71281121 82778076 96574422 110370768 128765896 142562242 144861633 165556152 193148844 213843363 257531792 285124484 289723266 331112304 386297688 427686726 498967847 570248968 579446532 641530089 772595376 855373452 997935694 1140497936 1158893064 1283060178 1496903541 1710746904 1995871388 2317786128 2566120356 2993807082 3421493808 3991742776 4490710623 5132240712 5987614164 7983485552 8981421246 10264481424 11975228328 17962842492 23950456656 35925684984 71851369968