Search a number
-
+
5348515656 = 23311171962723
BaseRepresentation
bin1001111101100101…
…11101111101001000
3111210202011202011110
410332302331331020
541423210000111
62242421130320
7246353430051
oct47662757510
914722152143
105348515656
1122a5108a80
1210532599a0
13673115283
1438a4a3728
1521484a5a6
hex13ecbdf48

5348515656 has 128 divisors (see below), whose sum is σ = 16258060800. Its totient is φ = 1445114880.

The previous prime is 5348515633. The next prime is 5348515681. The reversal of 5348515656 is 6565158435.

It is a happy number.

It is a super-2 number, since 2×53485156562 = 57213239444954220672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53911 + ... + 116633.

It is an arithmetic number, because the mean of its divisors is an integer number (127016100).

Almost surely, 25348515656 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 5348515656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129030400).

5348515656 is an abundant number, since it is smaller than the sum of its proper divisors (10909545144).

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

5348515656 is a wasteful number, since it uses less digits than its factorization.

5348515656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62779 (or 62775 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 48.

The square root of 5348515656 is about 73133.5467210500. The cubic root of 5348515656 is about 1748.8172313699.

The spelling of 5348515656 in words is "five billion, three hundred forty-eight million, five hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 19 22 24 33 34 38 44 51 57 66 68 76 88 102 114 132 136 152 187 204 209 228 264 323 374 408 418 456 561 627 646 748 836 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 3553 3876 4488 5016 7106 7752 10659 14212 21318 28424 42636 62723 85272 125446 188169 250892 376338 501784 689953 752676 1066291 1191737 1379906 1505352 2069859 2132582 2383474 2759812 3198873 3575211 4139718 4265164 4766948 5519624 6397746 7150422 8279436 8530328 9533896 11729201 12795492 13109107 14300844 16558872 20259529 23458402 25590984 26218214 28601688 35187603 39327321 40519058 46916804 52436428 60778587 70375206 78654642 81038116 93833608 104872856 121557174 140750412 157309284 162076232 222854819 243114348 281500824 314618568 445709638 486228696 668564457 891419276 1337128914 1782838552 2674257828 5348515656