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6103409778064 = 241724727732
BaseRepresentation
bin101100011010000111110…
…0100100101110110010000
3210121110222010021120022101
41120310033210211312100
51244444240400344224
620551511233250144
71166646120060454
oct130641744456620
923543863246271
106103409778064
111a43494782255
12826a6b703954
1335371a409ba1
14171599a44664
15a8b6c70c044
hex58d0f925d90

6103409778064 has 135 divisors (see below), whose sum is σ = 12851470062307. Its totient is φ = 2807445763072.

The previous prime is 6103409778019. The next prime is 6103409778079. The reversal of 6103409778064 is 4608779043016.

The square root of 6103409778064 is 2470508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 330730808464 + 5772678969600 = 575092^2 + 2402640^2 .

It is a super-2 number, since 2×61034097780642 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6103409777996 and 6103409778014.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7895743182 + ... + 7895743954.

Almost surely, 26103409778064 is an apocalyptic number.

6103409778064 is the 2470508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6103409778064

6103409778064 is an abundant number, since it is smaller than the sum of its proper divisors (6748060284243).

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

6103409778064 is an frugal number, since it uses more digits than its factorization.

6103409778064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 6103409778064 in words is "six trillion, one hundred three billion, four hundred nine million, seven hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 289 376 578 752 773 799 1156 1546 1598 2209 2312 3092 3196 4418 4624 6184 6392 8836 12368 12784 13141 13583 17672 26282 27166 35344 36331 37553 52564 54332 72662 75106 105128 108664 145324 150212 210256 217328 223397 290648 300424 446794 581296 597529 600848 617627 638401 893588 1195058 1235254 1276802 1707557 1787176 2390116 2470508 2553604 3415114 3574352 4780232 4941016 5107208 6830228 9560464 9882032 10157993 10214416 10499659 13660456 20315986 20999318 27320912 28083863 29028469 40631972 41998636 56167726 58056938 81263944 83997272 112335452 116113876 162527888 167994544 172685881 224670904 232227752 345371762 449341808 464455504 477425671 493483973 690743524 954851342 986967946 1319941561 1381487048 1909702684 1973935892 2639883122 2762974096 3819405368 3947871784 5279766244 7638810736 7895743568 8116236407 10559532488 16232472814 21119064976 22439006537 32464945628 44878013074 64929891256 89756026148 129859782512 179512052296 359024104592 381463111129 762926222258 1525852444516 3051704889032 6103409778064