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2969053993680 = 243531977408461
BaseRepresentation
bin101011001101001001011…
…010001001101011010000
3101111211122110220021100220
4223031021122021223100
5342121110310244210
610151544203113040
7424335632354235
oct53151132115320
911454573807326
102969053993680
11a45194638145
123bb50a212780
13186c99483a68
14a39bad9778c
1552372a51c70
hex2b349689ad0

2969053993680 has 160 divisors (see below), whose sum is σ = 9510720703488. Its totient is φ = 765421363200.

The previous prime is 2969053993667. The next prime is 2969053993709. The reversal of 2969053993680 is 863993509692.

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 31 ways as a sum of consecutive naturals, for example, 7064650 + ... + 7473110.

Almost surely, 22969053993680 is an apocalyptic number.

2969053993680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2969053993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755360351744).

2969053993680 is an abundant number, since it is smaller than the sum of its proper divisors (6541666709808).

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

2969053993680 is a wasteful number, since it uses less digits than its factorization.

2969053993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409485 (or 409479 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 69.

The spelling of 2969053993680 in words is "two trillion, nine hundred sixty-nine billion, fifty-three million, nine hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 977 1240 1488 1860 1954 2480 2931 3720 3908 4885 5862 7440 7816 9770 11724 14655 15632 19540 23448 29310 30287 39080 46896 58620 60574 78160 90861 117240 121148 151435 181722 234480 242296 302870 363444 408461 454305 484592 605740 726888 816922 908610 1211480 1225383 1453776 1633844 1817220 2042305 2422960 2450766 3267688 3634440 4084610 4901532 6126915 6535376 7268880 8169220 9803064 12253830 12662291 16338440 19606128 24507660 25324582 32676880 37986873 49015320 50649164 63311455 75973746 98030640 101298328 126622910 151947492 189934365 202596656 253245820 303894984 379868730 399066397 506491640 607789968 759737460 798132794 1012983280 1197199191 1519474920 1596265588 1995331985 2394398382 3038949840 3192531176 3990663970 4788796764 5985995955 6385062352 7981327940 9577593528 11971991910 12371058307 15962655880 19155187056 23943983820 24742116614 31925311760 37113174921 47887967640 49484233228 61855291535 74226349842 95775935280 98968466456 123710583070 148452699684 185565874605 197936932912 247421166140 296905399368 371131749210 494842332280 593810798736 742263498420 989684664560 1484526996840 2969053993680