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66696872130816 = 2831034012102629
BaseRepresentation
bin11110010101001000100110…
…10111101111100100000000
322202011011021200210020201120
433022210103113233210000
532220230143231141231
6353504041533432240
720022455445013164
oct1712442327574400
9282134250706646
1066696872130816
111a284a915967a4
12759237363b680
132b2a646343045
14126820825aca4
157a9e131e1d96
hex3ca9135ef900

66696872130816 has 144 divisors (see below), whose sum is σ = 179681407301760. Its totient is φ = 21961528934400.

The previous prime is 66696872130797. The next prime is 66696872130853. The reversal of 66696872130816 is 61803127869666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30669390 + ... + 32772018.

Almost surely, 266696872130816 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 66696872130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89840703650880).

66696872130816 is an abundant number, since it is smaller than the sum of its proper divisors (112984535170944).

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

66696872130816 is a wasteful number, since it uses less digits than its factorization.

66696872130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103152 (or 2103138 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 66696872130816 in words is "sixty-six trillion, six hundred ninety-six billion, eight hundred seventy-two million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 401 412 618 768 802 824 1203 1236 1604 1648 2406 2472 3208 3296 4812 4944 6416 6592 9624 9888 12832 13184 19248 19776 25664 26368 38496 39552 41303 51328 76992 79104 82606 102656 123909 153984 165212 247818 307968 330424 495636 660848 991272 1321696 1982544 2102629 2643392 3965088 4205258 5286784 6307887 7930176 8410516 10573568 12615774 15860352 16821032 25231548 31720704 33642064 50463096 67284128 100926192 134568256 201852384 216570787 269136512 403704768 433141574 538273024 649712361 807409536 843154229 866283148 1299424722 1614819072 1686308458 1732566296 2529462687 2598849444 3372616916 3465132592 5058925374 5197698888 6745233832 6930265184 10117850748 10395397776 13490467664 13860530368 20235701496 20790795552 26980935328 27721060736 40471402992 41581591104 53961870656 55442121472 80942805984 83163182208 86844885587 107923741312 161885611968 166326364416 173689771174 215847482624 260534656761 323771223936 347379542348 521069313522 647542447872 694759084696 1042138627044 1389518169392 2084277254088 2779036338784 4168554508176 5558072677568 8337109016352 11116145355136 16674218032704 22232290710272 33348436065408 66696872130816