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6416701079352 = 23337113619103307
BaseRepresentation
bin101110101100000000100…
…1100000011111100111000
3211201102121221010122202120
41131120001030003330320
51320112400434014402
621351443005201240
71231406556150504
oct135300114037470
924642557118676
106416701079352
112054342526973
12877724260220
13377127a80ac5
141827da09d304
15b1da6bae3bc
hex5d601303f38

6416701079352 has 128 divisors (see below), whose sum is σ = 16648125523200. Its totient is φ = 2059323291648.

The previous prime is 6416701079287. The next prime is 6416701079359. The reversal of 6416701079352 is 2539701076146.

It is a junction number, because it is equal to n+sod(n) for n = 6416701079295 and 6416701079304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416701079359) 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 31 ways as a sum of consecutive naturals, for example, 62061283 + ... + 62164589.

It is an arithmetic number, because the mean of its divisors is an integer number (130063480650).

Almost surely, 26416701079352 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 6416701079352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324062761600).

6416701079352 is an abundant number, since it is smaller than the sum of its proper divisors (10231424443848).

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

6416701079352 is a wasteful number, since it uses less digits than its factorization.

6416701079352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104085 (or 104081 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 6416701079352 in words is "six trillion, four hundred sixteen billion, seven hundred one million, seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 444 452 619 678 888 904 1238 1356 1857 2476 2712 3714 4181 4952 7428 8362 12543 14856 16724 22903 25086 33448 45806 50172 68709 69947 91612 100344 103307 137418 139894 183224 206614 209841 274836 279788 309921 413228 419682 549672 559576 619842 826456 839364 1239684 1678728 2479368 2588039 3822359 5176078 7644718 7764117 10352156 11467077 11673691 15289436 15528234 20704312 22934154 23347382 30578872 31056468 35021073 45868308 46694764 62112936 63947033 70042146 91736616 93389528 127894066 140084292 191841099 255788132 280168584 383682198 431926567 511576264 767364396 863853134 1295779701 1534728792 1727706268 2366040221 2591559402 3455412536 4732080442 5183118804 7098120663 7226014729 9464160884 10366237608 14196241326 14452029458 18928321768 21678044187 28392482652 28904058916 43356088374 56784965304 57808117832 86712176748 173424353496 267362544973 534725089946 802087634919 1069450179892 1604175269838 2138900359784 3208350539676 6416701079352