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10116670704512 = 271717394128559
BaseRepresentation
bin1001001100110111100010…
…0100000100101110000000
31022211010220011202010111112
42103031320210010232000
52311222420200021022
633303311231102452
72062622350102001
oct223157044045600
938733804663445
1010116670704512
113250501965169
121174818671a28
13584cc8674158
1426d9142311a8
151282579aa8e2
hex93378904b80

10116670704512 has 128 divisors (see below), whose sum is σ = 21486765283200. Its totient is φ = 4728071618560.

The previous prime is 10116670704499. The next prime is 10116670704523. The reversal of 10116670704512 is 21540707661101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101166707045122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10116670704512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354223289 + ... + 354251847.

It is an arithmetic number, because the mean of its divisors is an integer number (167865353775).

Almost surely, 210116670704512 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 10116670704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743382641600).

10116670704512 is an abundant number, since it is smaller than the sum of its proper divisors (11370094578688).

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

10116670704512 is a wasteful number, since it uses less digits than its factorization.

10116670704512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29704 (or 29692 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 10116670704512 in words is "ten trillion, one hundred sixteen billion, six hundred seventy million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 173 272 346 544 692 941 1088 1384 1882 2176 2768 2941 3764 5536 5882 7528 11072 11764 15056 15997 22144 23528 28559 30112 31994 47056 57118 60224 63988 94112 114236 120448 127976 162793 188224 228472 255952 325586 376448 456944 485503 511904 651172 913888 971006 1023808 1302344 1827776 1942012 2047616 2604688 2767481 3655552 3884024 4940707 5209376 5534962 7768048 9881414 10418752 11069924 15536096 19762828 20837504 22139848 26874019 31072192 39525656 44279696 53748038 62144384 79051312 83992019 88559392 107496076 158102624 167984038 177118784 214992152 316205248 335968076 354237568 429984304 456858323 632410496 671936152 859968608 913716646 1343872304 1719937216 1827433292 2687744608 3439874432 3654866584 4649205287 5375489216 7309733168 9298410574 10750978432 14619466336 18596821148 29238932672 37193642296 58477865344 74387284592 79036489879 148774569184 158072979758 297549138368 316145959516 595098276736 632291919032 1264583838064 2529167676128 5058335352256 10116670704512