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75052172048 = 247318922729
BaseRepresentation
bin100010111100101110…
…1010100001100010000
321011201111220101000212
41011321131110030100
52212201324001143
654251204303252
75264601636140
oct1057135241420
9234644811025
1075052172048
1129913aa3777
12126669a1b28
137101042179
1438bd9b8920
151e43e20918
hex1179754310

75052172048 has 120 divisors (see below), whose sum is σ = 173560558080. Its totient is φ = 30766602240.

The previous prime is 75052171979. The next prime is 75052172077. The reversal of 75052172048 is 84027125057.

It is a junction number, because it is equal to n+sod(n) for n = 75052171996 and 75052172014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27500348 + ... + 27503076.

It is an arithmetic number, because the mean of its divisors is an integer number (1446337984).

Almost surely, 275052172048 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 75052172048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780279040).

75052172048 is an abundant number, since it is smaller than the sum of its proper divisors (98508386032).

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

75052172048 is a wasteful number, since it uses less digits than its factorization.

75052172048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 75052172048 in words is "seventy-five billion, fifty-two million, one hundred seventy-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 89 112 124 178 217 248 356 434 496 623 712 868 1246 1424 1736 2492 2729 2759 3472 4984 5458 5518 7921 9968 10916 11036 15842 19103 19313 21832 22072 31684 38206 38626 43664 44144 55447 63368 76412 77252 84599 110894 126736 152824 154504 169198 221788 242881 245551 305648 309008 338396 443576 485762 491102 592193 676792 887152 971524 982204 1184386 1353584 1700167 1718857 1943048 1964408 2368772 3400334 3437714 3886096 3928816 4737544 6800668 6875428 7529311 9475088 13601336 13750856 15058622 21616409 27202672 27501712 30117244 43232818 52705177 60234488 86465636 105410354 120468976 151314863 172931272 210820708 302629726 345862544 421641416 605259452 670108679 843282832 1210518904 1340217358 2421037808 2680434716 4690760753 5360869432 9381521506 10721738864 18763043012 37526086024 75052172048