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5073525540 = 223251912711681
BaseRepresentation
bin1001011100110011…
…11101101100100100
3111002120201210122100
410232121331230210
540342310304130
62155235132100
7236504153436
oct45631755444
914076653570
105073525540
112173966916
12b97144030
1362b163025
14361b60656
151ea62bc60
hex12e67db24

5073525540 has 144 divisors (see below), whose sum is σ = 16328632320. Its totient is φ = 1271531520.

The previous prime is 5073525533. The next prime is 5073525547. The reversal of 5073525540 is 455253705.

5073525540 is a `hidden beast` number, since 50 + 7 + 3 + 52 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5073525533) and next prime (5073525547).

It is a super-2 number, since 2×50735255402 = 51481322810064583200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5073525495 and 5073525504.

It is not an unprimeable number, because it can be changed into a prime (5073525547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428500 + ... + 440180.

It is an arithmetic number, because the mean of its divisors is an integer number (113393280).

Almost surely, 25073525540 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 5073525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164316160).

5073525540 is an abundant number, since it is smaller than the sum of its proper divisors (11255106780).

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

5073525540 is a wasteful number, since it uses less digits than its factorization.

5073525540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 5073525540 is about 71228.6848116684. The cubic root of 5073525540 is about 1718.3169876633.

The spelling of 5073525540 in words is "five billion, seventy-three million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 127 171 180 190 228 254 285 342 380 381 508 570 635 684 762 855 1140 1143 1270 1524 1710 1905 2286 2413 2540 3420 3810 4572 4826 5715 7239 7620 9652 11430 11681 12065 14478 21717 22860 23362 24130 28956 35043 36195 43434 46724 48260 58405 70086 72390 86868 105129 108585 116810 140172 144780 175215 210258 217170 221939 233620 350430 420516 434340 443878 525645 665817 700860 887756 1051290 1109695 1331634 1483487 1997451 2102580 2219390 2663268 2966974 3329085 3994902 4438780 4450461 5933948 6658170 7417435 7989804 8900922 9987255 13316340 13351383 14834870 17801844 19974510 22252305 26702766 28186253 29669740 39949020 44504610 53405532 56372506 66756915 84558759 89009220 112745012 133513830 140931265 169117518 253676277 267027660 281862530 338235036 422793795 507352554 563725060 845587590 1014705108 1268381385 1691175180 2536762770 5073525540