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5016255600 = 2435218672239
BaseRepresentation
bin1001010101111110…
…11111110001110000
3110221120222012001110
410222333133301300
540233130134400
62145431433320
7235210316616
oct45277376160
913846865043
105016255600
112144600094
12b7bb25840
1361c3308a5
143582d36b6
151e55b7e50
hex12afdfc70

5016255600 has 120 divisors (see below), whose sum is σ = 16084526080. Its totient is φ = 1336354560.

The previous prime is 5016255589. The next prime is 5016255611. The reversal of 5016255600 is 65526105.

It is an interprime number because it is at equal distance from previous prime (5016255589) and next prime (5016255611).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2239281 + ... + 2241519.

Almost surely, 25016255600 is an apocalyptic number.

5016255600 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 5016255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042263040).

5016255600 is an abundant number, since it is smaller than the sum of its proper divisors (11068270480).

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

5016255600 is a wasteful number, since it uses less digits than its factorization.

5016255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 5016255600 is about 70825.5292955866. The cubic root of 5016255600 is about 1711.8270543991.

The spelling of 5016255600 in words is "five billion, sixteen million, two hundred fifty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1867 2239 3734 4478 5601 6717 7468 8956 9335 11195 11202 13434 14936 17912 18670 22390 22404 26868 28005 29872 33585 35824 37340 44780 44808 46675 53736 55975 56010 67170 74680 89560 89616 93350 107472 111950 112020 134340 140025 149360 167925 179120 186700 223900 224040 268680 280050 335850 373400 447800 448080 537360 560100 671700 746800 895600 1120200 1343400 2240400 2686800 4180213 8360426 12540639 16720852 20901065 25081278 33441704 41802130 50162556 62703195 66883408 83604260 100325112 104505325 125406390 167208520 200650224 209010650 250812780 313515975 334417040 418021300 501625560 627031950 836042600 1003251120 1254063900 1672085200 2508127800 5016255600