Search a number
-
+
5271681024 = 211321915053
BaseRepresentation
bin1001110100011011…
…10111100000000000
3111121101121010212100
410322031313200000
541244022243044
62231034230400
7244431356301
oct47215674000
914541533770
105271681024
1122657a9a85
121031585400
136602228ac
143801c27a8
1520cc1e869
hex13a377800

5271681024 has 144 divisors (see below), whose sum is σ = 16027993800. Its totient is φ = 1664630784.

The previous prime is 5271681013. The next prime is 5271681049. The reversal of 5271681024 is 4201861725.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5271681024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342682 + ... + 357734.

Almost surely, 25271681024 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 5271681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013996900).

5271681024 is an abundant number, since it is smaller than the sum of its proper divisors (10756312776).

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

5271681024 is a wasteful number, since it uses less digits than its factorization.

5271681024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15100 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5271681024 is about 72606.3428634166. The cubic root of 5271681024 is about 1740.4025386554.

The spelling of 5271681024 in words is "five billion, two hundred seventy-one million, six hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 15053 18432 19456 21888 29184 30106 38912 43776 45159 58368 60212 87552 90318 116736 120424 135477 175104 180636 240848 270954 286007 350208 361272 481696 541908 572014 722544 858021 963392 1083816 1144028 1445088 1716042 1926784 2167632 2288056 2574063 2890176 3432084 3853568 4335264 4576112 5148126 5780352 6864168 7707136 8670528 9152224 10296252 11560704 13728336 15414272 17341056 18304448 20592504 23121408 27456672 30828544 34682112 36608896 41185008 46242816 54913344 69364224 73217792 82370016 92485632 109826688 138728448 146435584 164740032 219653376 277456896 292871168 329480064 439306752 585742336 658960128 878613504 1317920256 1757227008 2635840512 5271681024