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70481121114688 = 26171511087394673
BaseRepresentation
bin10000000001101000101010…
…001011111111101001000000
3100020112221002111212202000121
4100001220222023333221000
533214230314001132223
6405522325142430024
720563043612442424
oct2001505213775100
9306487074782017
1070481121114688
112050396a480669
127aa3868a32314
13304345881140b
14135943963ab84
1582359801515d
hex401a2a2ffa40

70481121114688 has 112 divisors (see below), whose sum is σ = 149206322571264. Its totient is φ = 32917539225600.

The previous prime is 70481121114643. The next prime is 70481121114689. The reversal of 70481121114688 is 88641112118407.

70481121114688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (70481121114689) 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 15 ways as a sum of consecutive naturals, for example, 178383720 + ... + 178778392.

It is an arithmetic number, because the mean of its divisors is an integer number (1332199308672).

Almost surely, 270481121114688 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 70481121114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74603161285632).

70481121114688 is an abundant number, since it is smaller than the sum of its proper divisors (78725201456576).

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

70481121114688 is a wasteful number, since it uses less digits than its factorization.

70481121114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395940 (or 395930 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 52.

The spelling of 70481121114688 in words is "seventy trillion, four hundred eighty-one billion, one hundred twenty-one million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 151 272 302 544 604 1087 1088 1208 2174 2416 2567 4348 4832 5134 8696 9664 10268 17392 18479 20536 34784 36958 41072 69568 73916 82144 147832 164137 164288 295664 328274 394673 591328 656548 789346 1182656 1313096 1578692 2626192 2790329 3157384 5252384 5580658 6314768 6709441 10504768 11161316 12629536 13418882 22322632 25259072 26837764 44645264 53675528 59595623 89290528 107351056 119191246 178581056 214702112 238382492 429009551 429404224 476764984 858019102 953529968 1013125591 1716038204 1907059936 2026251182 3432076408 3814119872 4052502364 6864152816 7293162367 8105004728 13728305632 14586324734 16210009456 27456611264 29172649468 32420018912 58345298936 64780442201 64840037824 116690597872 129560884402 233381195744 259121768804 466762391488 518243537608 1036487075216 1101267517417 2072974150432 2202535034834 4145948300864 4405070069668 8810140139336 17620280278672 35240560557344 70481121114688