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3946100078481 = 3114361892232297
BaseRepresentation
bin111001011011000101111…
…001001011011110010001
3111222020120111110222201120
4321123011321023132101
51004123103110002411
612220451403352453
7555045016143561
oct71330571133621
914866514428646
103946100078481
11129159368a890
12538944b22729
132281670a7752
14d8dc6aaada1
156c9a905d106
hex396c5e4b791

3946100078481 has 128 divisors (see below), whose sum is σ = 6066331729920. Its totient is φ = 2260674662400.

The previous prime is 3946100078477. The next prime is 3946100078491. The reversal of 3946100078481 is 1848700016493.

It is not a de Polignac number, because 3946100078481 - 22 = 3946100078477 is a prime.

It is a super-2 number, since 2×39461000784812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3946100078411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1717935325 + ... + 1717937621.

It is an arithmetic number, because the mean of its divisors is an integer number (47393216640).

Almost surely, 23946100078481 is an apocalyptic number.

It is an amenable number.

3946100078481 is a deficient number, since it is larger than the sum of its proper divisors (2120231651439).

3946100078481 is a wasteful number, since it uses less digits than its factorization.

3946100078481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 3946100078481 in words is "three trillion, nine hundred forty-six billion, one hundred million, seventy-eight thousand, four hundred eighty-one".

Divisors: 1 3 11 33 43 61 89 129 183 223 267 473 669 671 979 1419 2013 2297 2453 2623 2937 3827 5429 6891 7359 7869 9589 11481 13603 16287 19847 25267 28767 28853 40809 42097 59541 59719 75801 86559 98771 105479 126291 140117 149633 179157 204433 218317 233447 296313 316437 420351 448899 512231 584929 613299 654951 700341 853421 1086481 1210667 1536693 1541287 1754787 2248763 2560263 2567917 3259443 3632001 4623861 5634541 6025031 6434219 6746289 7703751 8790619 9387631 12470413 13317337 16903623 18075093 19302657 22025933 26371857 28162893 31246091 37411239 39952011 45588559 52058681 66077799 66275341 93738273 96696809 136765677 137174543 156176043 198826023 242285263 290090427 343707001 411523629 501474149 536227759 572645491 726855789 1031121003 1343581913 1504422447 1608683277 1717936473 1960308037 2780902099 4030745739 5880924111 5898505349 8342706297 14779401043 17695516047 21563388407 30589923089 44338203129 64690165221 91769769267 119578790257 358736370771 1315366692827 3946100078481