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671062135120 = 2451313719124659
BaseRepresentation
bin10011100001111100110…
…10111001000101010000
32101011010110210112211121
421300332122321011100
541443313401310440
61232140502252024
766324355014346
oct11607632710520
92334113715747
10671062135120
11239661098493
12aa081427014
134b386158a80
142469dd7d996
15126c883534a
hex9c3e6b9150

671062135120 has 160 divisors (see below), whose sum is σ = 1701431101440. Its totient is φ = 244670484480.

The previous prime is 671062135043. The next prime is 671062135123. The reversal of 671062135120 is 21531260176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671062135123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27201351 + ... + 27226009.

It is an arithmetic number, because the mean of its divisors is an integer number (10633944384).

Almost surely, 2671062135120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671062135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850715550720).

671062135120 is an abundant number, since it is smaller than the sum of its proper divisors (1030368966320).

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

671062135120 is a wasteful number, since it uses less digits than its factorization.

671062135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25013 (or 25007 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

Adding to 671062135120 its reverse (21531260176), we get a palindrome (692593395296).

The spelling of 671062135120 in words is "six hundred seventy-one billion, sixty-two million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 137 191 208 260 274 382 520 548 685 764 955 1040 1096 1370 1528 1781 1910 2192 2483 2740 3056 3562 3820 4966 5480 7124 7640 8905 9932 10960 12415 14248 15280 17810 19864 24659 24830 26167 28496 35620 39728 49318 49660 52334 71240 98636 99320 104668 123295 130835 142480 197272 198640 209336 246590 261670 320567 340171 394544 418672 493180 523340 641134 680342 986360 1046680 1282268 1360684 1602835 1700855 1972720 2093360 2564536 2721368 3205670 3378283 3401710 4709869 5129072 5442736 6411340 6756566 6803420 9419738 12822680 13513132 13606840 16891415 18839476 23549345 25645360 27026264 27213680 33782830 37678952 43917679 47098690 54052528 61228297 67565660 75357904 87835358 94197380 122456594 135131320 175670716 188394760 219588395 244913188 270262640 306141485 351341432 376789520 439176790 489826376 612282970 645252053 702682864 878353580 979652752 1224565940 1290504106 1756707160 2449131880 2581008212 3226260265 3513414320 4898263760 5162016424 6452520530 8388276689 10324032848 12905041060 16776553378 25810082120 33553106756 41941383445 51620164240 67106213512 83882766890 134212427024 167765533780 335531067560 671062135120