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5428721736 = 233431535099
BaseRepresentation
bin1010000111001001…
…11011100001001000
3112000100002122020000
411003210323201020
542104223043421
62254404203000
7251346242034
oct50344734110
915010078200
105428721736
11233640aa99
121076099460
136869183a9
14396dc11c4
1521b8e0226
hex14393b848

5428721736 has 160 divisors (see below), whose sum is σ = 15995232000. Its totient is φ = 1717822080.

The previous prime is 5428721693. The next prime is 5428721777. The reversal of 5428721736 is 6371278245.

5428721736 is a `hidden beast` number, since 5 + 428 + 7 + 217 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5428721691 and 5428721700.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062115 + ... + 1067213.

It is an arithmetic number, because the mean of its divisors is an integer number (99970200).

Almost surely, 25428721736 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 5428721736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997616000).

5428721736 is an abundant number, since it is smaller than the sum of its proper divisors (10566510264).

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

5428721736 is a wasteful number, since it uses less digits than its factorization.

5428721736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5188 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 5428721736 is about 73679.8597718535. The cubic root of 5428721736 is about 1757.5156209580.

It can be divided in two parts, 542 and 8721736, that added together give a palindrome (8722278).

The spelling of 5428721736 in words is "five billion, four hundred twenty-eight million, seven hundred twenty-one thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 81 93 106 108 124 159 162 186 212 216 248 279 318 324 372 424 477 558 636 648 744 837 954 1116 1272 1431 1643 1674 1908 2232 2511 2862 3286 3348 3816 4293 4929 5022 5099 5724 6572 6696 8586 9858 10044 10198 11448 13144 14787 15297 17172 19716 20088 20396 29574 30594 34344 39432 40792 44361 45891 59148 61188 88722 91782 118296 122376 133083 137673 158069 177444 183564 266166 270247 275346 316138 354888 367128 413019 474207 532332 540494 550692 632276 810741 826038 948414 1064664 1080988 1101384 1264552 1422621 1621482 1652076 1896828 2161976 2432223 2845242 3242964 3304152 3793656 4267863 4864446 5690484 6485928 7296669 8377657 8535726 9728892 11380968 12803589 14593338 16755314 17071452 19457784 21890007 25132971 25607178 29186676 33510628 34142904 43780014 50265942 51214356 58373352 67021256 75398913 87560028 100531884 102428712 150797826 175120056 201063768 226196739 301595652 452393478 603191304 678590217 904786956 1357180434 1809573912 2714360868 5428721736