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65873930346 = 23375916318121
BaseRepresentation
bin111101010110011001…
…000110100001101010
320022000212102101101000
4331112121012201222
52034402211232341
650132334535430
74521263112030
oct752631064152
9208025371330
1065873930346
1125a34130954
1210925067576
13629a685413
14328ca46550
151aa82868b6
hexf5664686a

65873930346 has 128 divisors (see below), whose sum is σ = 171187660800. Its totient is φ = 18387596160.

The previous prime is 65873930333. The next prime is 65873930347. The reversal of 65873930346 is 64303937856.

65873930346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 65873930292 and 65873930301.

It is not an unprimeable number, because it can be changed into a prime (65873930347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3626166 + ... + 3644286.

It is an arithmetic number, because the mean of its divisors is an integer number (1337403600).

Almost surely, 265873930346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65873930346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85593830400).

65873930346 is an abundant number, since it is smaller than the sum of its proper divisors (105313730454).

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

65873930346 is a wasteful number, since it uses less digits than its factorization.

65873930346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18361 (or 18355 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 65873930346 in words is "sixty-five billion, eight hundred seventy-three million, nine hundred thirty thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 163 177 189 326 354 378 413 489 531 826 978 1062 1141 1239 1467 1593 2282 2478 2934 3186 3423 3717 4401 6846 7434 8802 9617 10269 11151 18121 19234 20538 22302 28851 30807 36242 54363 57702 61614 67319 86553 108726 126847 134638 163089 173106 201957 253694 259659 326178 380541 403914 489267 519318 605871 761082 978534 1069139 1141623 1211742 1817613 2138278 2283246 2953723 3207417 3424869 3635226 5907446 6414834 6849738 7483973 8861169 9622251 14967946 17722338 19244502 20676061 22451919 26583507 28866753 41352122 44903838 53167014 57733506 62028183 67355757 79750521 124056366 134711514 159501042 174269657 186084549 202067271 348539314 372169098 404134542 522808971 558253647 1045617942 1116507294 1219887599 1568426913 2439775198 3136853826 3659662797 4705280739 7319325594 9410561478 10978988391 21957976782 32936965173 65873930346