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3145037070648 = 2331197128995279
BaseRepresentation
bin101101110001000010110…
…100010100000100111000
3102010122220001002212010110
4231301002310110010320
5403012013442230043
610404450551144320
7443135644005414
oct55610264240470
912118801085113
103145037070648
111002891487620
124296426750a0
1319a763b2cb75
14ac3134b5d44
1556c22790b33
hex2dc42d14138

3145037070648 has 128 divisors (see below), whose sum is σ = 8672614272000. Its totient is φ = 942474731520.

The previous prime is 3145037070629. The next prime is 3145037070653. The reversal of 3145037070648 is 8460707305413.

It is a junction number, because it is equal to n+sod(n) for n = 3145037070597 and 3145037070606.

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 31 ways as a sum of consecutive naturals, for example, 32961073 + ... + 33056351.

It is an arithmetic number, because the mean of its divisors is an integer number (67754799000).

Almost surely, 23145037070648 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 3145037070648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336307136000).

3145037070648 is an abundant number, since it is smaller than the sum of its proper divisors (5527577201352).

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

3145037070648 is a wasteful number, since it uses less digits than its factorization.

3145037070648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96685 (or 96681 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 3145037070648 in words is "three trillion, one hundred forty-five billion, thirty-seven million, seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 1289 2134 2328 2578 3201 3867 4268 5156 6402 7734 8536 10312 12804 14179 15468 25608 28358 30936 42537 56716 85074 95279 113432 125033 170148 190558 250066 285837 340296 375099 381116 500132 571674 750198 762232 1000264 1048069 1143348 1375363 1500396 2096138 2286696 2750726 3000792 3144207 4126089 4192276 5501452 6288414 8252178 8384552 9242063 11002904 12576828 16504356 18484126 25153656 27726189 33008712 36968252 55452378 73936504 101662693 110904756 122814631 203325386 221809512 245629262 304988079 368443893 406650772 491258524 609976158 736887786 813301544 982517048 1219952316 1350960941 1473775572 2439904632 2701921882 2947551144 4052882823 5403843764 8105765646 10807687528 11913019207 16211531292 23826038414 32423062584 35739057621 47652076828 71478115242 95304153656 131043211277 142956230484 262086422554 285912460968 393129633831 524172845108 786259267662 1048345690216 1572518535324 3145037070648