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500005150040 = 2351159101190699
BaseRepresentation
bin1110100011010101010…
…00010001110101011000
31202210121012220100202202
413101222220101311120
531143002304300130
61021411005345332
751060410436134
oct7215250216530
91683535810682
10500005150040
11183061965830
1280aa2868248
13381c5231c36
141a2b3ba43c4
15d0162ee145
hex746aa11d58

500005150040 has 128 divisors (see below), whose sum is σ = 1260450720000. Its totient is φ = 176967744000.

The previous prime is 500005150031. The next prime is 500005150097. The reversal of 500005150040 is 40051500005.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 500005149994 and 500005150021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526611 + ... + 2717309.

It is an arithmetic number, because the mean of its divisors is an integer number (9847271250).

Almost surely, 2500005150040 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 500005150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630225360000).

500005150040 is an abundant number, since it is smaller than the sum of its proper divisors (760445569960).

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

500005150040 is a wasteful number, since it uses less digits than its factorization.

500005150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190881 (or 190877 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 500005150040 its reverse (40051500005), we get a palindrome (540056650045).

The spelling of 500005150040 in words is "five hundred billion, five million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 101 110 118 202 220 236 295 404 440 472 505 590 649 808 1010 1111 1180 1298 2020 2222 2360 2596 3245 4040 4444 5192 5555 5959 6490 8888 11110 11918 12980 22220 23836 25960 29795 44440 47672 59590 65549 119180 131098 190699 238360 262196 327745 381398 524392 655490 762796 953495 1310980 1525592 1906990 2097689 2621960 3813980 4195378 7627960 8390756 10488445 11251241 16781512 19260599 20976890 22502482 38521198 41953780 45004964 56256205 77042396 83907560 90009928 96302995 112512410 123763651 154084792 192605990 211866589 225024820 247527302 385211980 423733178 450049640 495054604 618818255 770423960 847466356 990109208 1059332945 1136375341 1237636510 1694932712 2118665890 2272750682 2475273020 4237331780 4545501364 4950546040 5681876705 8474663560 9091002728 11363753410 12500128751 22727506820 25000257502 45455013640 50000515004 62500643755 100001030008 125001287510 250002575020 500005150040