Search a number
-
+
5217145851348 = 2233223709305533
BaseRepresentation
bin100101111101011011000…
…1000000000110111010100
3200110202100212100022021000
41023322312020000313110
51140434203314220343
615032420153423300
71045632511021014
oct113726610006724
920422325308230
105217145851348
111731640905642
1270314b70ab30
132bac896822c2
14140722a71c44
1590a9b07ced3
hex4beb6200dd4

5217145851348 has 96 divisors (see below), whose sum is σ = 13605795660800. Its totient is φ = 1728802714752.

The previous prime is 5217145851343. The next prime is 5217145851371. The reversal of 5217145851348 is 8431585417125.

5217145851348 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 1 + 4 + 585 + 13 + 48 = 666.

It is a super-2 number, since 2×52171458513482 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5217145851294 and 5217145851303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217145851343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16922790 + ... + 17228322.

Almost surely, 25217145851348 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 5217145851348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802897830400).

5217145851348 is an abundant number, since it is smaller than the sum of its proper divisors (8388649809452).

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

5217145851348 is a wasteful number, since it uses less digits than its factorization.

5217145851348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306478 (or 306470 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 54.

The spelling of 5217145851348 in words is "five trillion, two hundred seventeen billion, one hundred forty-five million, eight hundred fifty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 709 892 1338 1418 2007 2127 2676 2836 4014 4254 6021 6381 8028 8508 12042 12762 19143 24084 25524 38286 76572 158107 305533 316214 474321 611066 632428 916599 948642 1222132 1422963 1833198 1897284 2749797 2845926 3666396 4268889 5499594 5691852 8249391 8537778 10999188 16498782 17075556 32997564 68133859 136267718 204401577 216622897 272535436 408803154 433245794 613204731 649868691 817606308 866491588 1226409462 1299737382 1839614193 1949606073 2452818924 2599474764 3679228386 3899212146 5848818219 7358456772 7798424292 11697636438 23395272876 48306906031 96613812062 144920718093 193227624124 289841436186 434762154279 579682872372 869524308558 1304286462837 1739048617116 2608572925674 5217145851348