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5016014000 = 245329197439
BaseRepresentation
bin1001010101111101…
…00100110010110000
3110221120111220122022
410222332210302300
540233044422000
62145422331012
7235205262344
oct45276446260
913846456568
105016014000
112144455618
12b7ba29a68
1361c27792a
1435826d624
151e556b585
hex12afa4cb0

5016014000 has 160 divisors (see below), whose sum is σ = 12639369600. Its totient is φ = 1922995200.

The previous prime is 5016013967. The next prime is 5016014009. The reversal of 5016014000 is 4106105.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5016014000.

It is not an unprimeable number, because it can be changed into a prime (5016014009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11425781 + ... + 11426219.

It is an arithmetic number, because the mean of its divisors is an integer number (78996060).

Almost surely, 25016014000 is an apocalyptic number.

5016014000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5016014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319684800).

5016014000 is an abundant number, since it is smaller than the sum of its proper divisors (7623355600).

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

5016014000 is a wasteful number, since it uses less digits than its factorization.

5016014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5016014000 is about 70823.8236753707. The cubic root of 5016014000 is about 1711.7995714790.

The spelling of 5016014000 in words is "five billion, sixteen million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 197 200 232 250 290 394 400 439 464 500 580 725 788 878 985 1000 1160 1450 1576 1756 1970 2000 2195 2320 2900 3152 3512 3625 3940 4390 4925 5713 5800 7024 7250 7880 8780 9850 10975 11426 11600 12731 14500 15760 17560 19700 21950 22852 24625 25462 28565 29000 35120 39400 43900 45704 49250 50924 54875 57130 58000 63655 78800 86483 87800 91408 98500 101848 109750 114260 127310 142825 172966 175600 197000 203696 219500 228520 254620 285650 318275 345932 394000 432415 439000 457040 509240 571300 636550 691864 714125 864830 878000 1018480 1142600 1273100 1383728 1428250 1591375 1729660 2162075 2285200 2508007 2546200 2856500 3182750 3459320 4324150 5016014 5092400 5713000 6365500 6918640 8648300 10032028 10810375 11426000 12540035 12731000 17296600 20064056 21620750 25080070 25462000 34593200 40128112 43241500 50160140 62700175 86483000 100320280 125400350 172966000 200640560 250800700 313500875 501601400 627001750 1003202800 1254003500 2508007000 5016014000