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5054314624 = 271132231567
BaseRepresentation
bin1001011010100001…
…01011100010000000
3111001020120210012221
410231100223202000
540322401031444
62153311300424
7236151652102
oct45520534200
914036523187
105054314624
112164035427
12b9081a714
13627197b18
1435d39d572
151e8ad4a84
hex12d42b880

5054314624 has 64 divisors (see below), whose sum is σ = 10210314240. Its totient is φ = 2491969536.

The previous prime is 5054314609. The next prime is 5054314667. The reversal of 5054314624 is 4264134505.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×50543146242 = 51092192636760522752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5054314624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3224689 + ... + 3226255.

It is an arithmetic number, because the mean of its divisors is an integer number (159536160).

Almost surely, 25054314624 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 5054314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105157120).

5054314624 is an abundant number, since it is smaller than the sum of its proper divisors (5155999616).

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

5054314624 is a wasteful number, since it uses less digits than its factorization.

5054314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 5054314624 is about 71093.7031248197. The cubic root of 5054314624 is about 1716.1454407692.

The spelling of 5054314624 in words is "five billion, fifty-four million, three hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 223 226 446 452 892 904 1567 1784 1808 3134 3568 3616 6268 7136 7232 12536 14272 14464 25072 25199 28544 50144 50398 100288 100796 177071 200576 201592 349441 354142 403184 698882 708284 806368 1397764 1416568 1612736 2795528 2833136 3225472 5591056 5666272 11182112 11332544 22364224 22665088 39486833 44728448 78973666 157947332 315894664 631789328 1263578656 2527157312 5054314624