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5152642566304 = 2519151443126691
BaseRepresentation
bin100101011111011000101…
…1011100000100010100000
3200020120212112000220202211
41022332301123200202200
51133410102444110204
614543031420251504
71041160200111262
oct112766133404240
920216775026684
105152642566304
111707250443902
126b27496a0b94
132b4b79c6b30c
1413b564099b32
158e0732dd804
hex4afb16e08a0

5152642566304 has 96 divisors (see below), whose sum is σ = 10773239016960. Its totient is φ = 2419069536000.

The previous prime is 5152642566293. The next prime is 5152642566307. The reversal of 5152642566304 is 4036652462515.

It is not an unprimeable number, because it can be changed into a prime (5152642566307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40607599 + ... + 40734289.

It is an arithmetic number, because the mean of its divisors is an integer number (112221239760).

Almost surely, 25152642566304 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 5152642566304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386619508480).

5152642566304 is an abundant number, since it is smaller than the sum of its proper divisors (5620596450656).

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

5152642566304 is a wasteful number, since it uses less digits than its factorization.

5152642566304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127314 (or 127306 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 5152642566304 in words is "five trillion, one hundred fifty-two billion, six hundred forty-two million, five hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 151 152 302 304 443 604 608 886 1208 1772 2416 2869 3544 4832 5738 7088 8417 11476 14176 16834 22952 33668 45904 66893 67336 91808 126691 133786 134672 253382 267572 269344 506764 535144 1013528 1070288 1270967 2027056 2140576 2407129 2541934 4054112 4814258 5083868 9628516 10167736 19130341 19257032 20335472 38260682 38514064 40670944 56124113 76521364 77028128 112248226 153042728 224496452 306085456 363476479 448992904 612170912 726952958 897985808 1066358147 1453905916 1795971616 2132716294 2907811832 4265432588 5815623664 8474741063 8530865176 11631247328 16949482126 17061730352 33898964252 34123460704 67797928504 135595857008 161020080197 271191714016 322040160394 644080320788 1288160641576 2576321283152 5152642566304