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5288073768 = 2333199711327
BaseRepresentation
bin1001110110011000…
…11001101000101000
3111122112102222111000
410323030121220220
541312221330033
62232421435000
7245020612455
oct47314315050
914575388430
105288073768
112273a860aa
121036b6ba60
13663742143
1438244c82c
1520e3aba13
hex13b319a28

5288073768 has 128 divisors (see below), whose sum is σ = 15489792000. Its totient is φ = 1666941120.

The previous prime is 5288073767. The next prime is 5288073799. The reversal of 5288073768 is 8673708825.

5288073768 is a `hidden beast` number, since 528 + 80 + 7 + 37 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5288073767) 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, 3984321 + ... + 3985647.

It is an arithmetic number, because the mean of its divisors is an integer number (121014000).

Almost surely, 25288073768 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 5288073768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744896000).

5288073768 is an abundant number, since it is smaller than the sum of its proper divisors (10201718232).

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

5288073768 is a wasteful number, since it uses less digits than its factorization.

5288073768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 5288073768 is about 72719.1430642578. The cubic root of 5288073768 is about 1742.2046489622.

The spelling of 5288073768 in words is "five billion, two hundred eighty-eight million, seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 971 1026 1327 1368 1942 2052 2654 2913 3884 3981 4104 5308 5826 7768 7962 8739 10616 11652 11943 15924 17478 18449 23304 23886 25213 26217 31848 34956 35829 36898 47772 50426 52434 55347 69912 71658 73796 75639 95544 100852 104868 110694 143316 147592 151278 166041 201704 209736 221388 226917 286632 302556 332082 442776 453834 498123 605112 664164 680751 907668 996246 1288517 1328328 1361502 1815336 1992492 2577034 2723004 3865551 3984984 5154068 5446008 7731102 10308136 11596653 15462204 23193306 24481823 30924408 34789959 46386612 48963646 69579918 73445469 92773224 97927292 139159836 146890938 195854584 220336407 278319672 293781876 440672814 587563752 661009221 881345628 1322018442 1762691256 2644036884 5288073768