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6103959418000 = 245319293548227
BaseRepresentation
bin101100011010011000001…
…0101010011010010010000
3210121112101102112011120001
41120310300111103102100
51300001402102334000
620552041550055344
71166665542662323
oct130646025232220
923545342464501
106103959418000
111a43746a63934
12826ba37aa554
133537a7252512
1417160ca3c7ba
15a8ba0acd46a
hex58d30553490

6103959418000 has 160 divisors (see below), whose sum is σ = 15589235975040. Its totient is φ = 2305180684800.

The previous prime is 6103959417977. The next prime is 6103959418027. The reversal of 6103959418000 is 8149593016.

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, 10859887 + ... + 11408113.

It is an arithmetic number, because the mean of its divisors is an integer number (97432724844).

Almost surely, 26103959418000 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 6103959418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794617987520).

6103959418000 is an abundant number, since it is smaller than the sum of its proper divisors (9485276557040).

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

6103959418000 is a wasteful number, since it uses less digits than its factorization.

6103959418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548562 (or 548546 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 6103959418000 in words is "six trillion, one hundred three billion, nine hundred fifty-nine million, four hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 293 304 380 400 475 500 586 760 950 1000 1172 1465 1520 1900 2000 2344 2375 2930 3800 4688 4750 5567 5860 7325 7600 9500 11134 11720 14650 19000 22268 23440 27835 29300 36625 38000 44536 55670 58600 73250 89072 111340 117200 139175 146500 222680 278350 293000 445360 548227 556700 586000 695875 1096454 1113400 1391750 2192908 2226800 2741135 2783500 4385816 5482270 5567000 8771632 10416313 10964540 11134000 13705675 20832626 21929080 27411350 41665252 43858160 52081565 54822700 68528375 83330504 104163130 109645400 137056750 160630511 166661008 208326260 219290800 260407825 274113500 321261022 416652520 520815650 548227000 642522044 803152555 833305040 1041631300 1096454000 1285044088 1302039125 1606305110 2083262600 2570088176 2604078250 3051979709 3212610220 4015762775 4166525200 5208156500 6103959418 6425220440 8031525550 10416313000 12207918836 12850440880 15259898545 16063051100 20078813875 20832626000 24415837672 30519797090 32126102200 40157627750 48831675344 61039594180 64252204400 76299492725 80315255500 122079188360 152598985450 160630511000 244158376720 305197970900 321261022000 381497463625 610395941800 762994927250 1220791883600 1525989854500 3051979709000 6103959418000