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5055065456 = 247731374513
BaseRepresentation
bin1001011010100111…
…00010110101110000
3111001021222221011112
410231103202311300
540323044043311
62153335332452
7236161230110
oct45523426560
914037887145
105055065456
1121644a8551
12b90b21128
1362739b7bc
1435d517040
151e8bd228b
hex12d4e2d70

5055065456 has 80 divisors (see below), whose sum is σ = 11432048064. Its totient is φ = 2120712192.

The previous prime is 5055065443. The next prime is 5055065471. The reversal of 5055065456 is 6545605505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117856 + ... + 1122368.

Almost surely, 25055065456 is an apocalyptic number.

5055065456 is a gapful number since it is divisible by the number (56) 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 5055065456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716024032).

5055065456 is an abundant number, since it is smaller than the sum of its proper divisors (6376982608).

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

5055065456 is a wasteful number, since it uses less digits than its factorization.

5055065456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The square root of 5055065456 is about 71098.9835089082. The cubic root of 5055065456 is about 1716.2304158984.

The spelling of 5055065456 in words is "five billion, fifty-five million, sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 137 146 274 292 511 548 584 959 1022 1096 1168 1918 2044 2192 3836 4088 4513 7672 8176 9026 10001 15344 18052 20002 31591 36104 40004 63182 70007 72208 80008 126364 140014 160016 252728 280028 329449 505456 560056 618281 658898 1120112 1236562 1317796 2306143 2473124 2635592 4327967 4612286 4946248 5271184 8655934 9224572 9892496 17311868 18449144 34623736 36898288 45134513 69247472 90269026 180538052 315941591 361076104 631883182 722152208 1263766364 2527532728 5055065456