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4804400016 = 2432136142073
BaseRepresentation
bin1000111100101110…
…10101001110010000
3110101211022210211100
410132113111032100
534314411300031
62112422544400
7230025504063
oct43627251620
913354283740
104804400016
112045a5a929
12b20b98100
135b7485260
143381068da
151d1bbade6
hex11e5d5390

4804400016 has 120 divisors (see below), whose sum is σ = 14717653496. Its totient is φ = 1454008320.

The previous prime is 4804399969. The next prime is 4804400023. The reversal of 4804400016 is 6100044084.

It can be written as a sum of positive squares in 4 ways, for example, as 767068416 + 4037331600 = 27696^2 + 63540^2 .

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, 93156 + ... + 135228.

Almost surely, 24804400016 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 4804400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358826748).

4804400016 is an abundant number, since it is smaller than the sum of its proper divisors (9913253480).

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

4804400016 is a wasteful number, since it uses less digits than its factorization.

4804400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42161 (or 42152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4804400016 is about 69313.7794092921. The cubic root of 4804400016 is about 1687.3806061372.

The spelling of 4804400016 in words is "four billion, eight hundred four million, four hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 468 488 549 624 732 793 936 976 1098 1464 1586 1872 2196 2379 2928 3172 4392 4758 6344 7137 8784 9516 12688 14274 19032 28548 38064 42073 57096 84146 114192 126219 168292 252438 336584 378657 504876 546949 673168 757314 1009752 1093898 1514628 1640847 2019504 2187796 2566453 3029256 3281694 4375592 4922541 5132906 6058512 6563388 7699359 8751184 9845082 10265812 13126776 15398718 19690164 20531624 23098077 26253552 30797436 33363889 39380328 41063248 46196154 61594872 66727778 78760656 92392308 100091667 123189744 133455556 184784616 200183334 266911112 300275001 369569232 400366668 533822224 600550002 800733336 1201100004 1601466672 2402200008 4804400016