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1016050464 = 2532111324671
BaseRepresentation
bin111100100011111…
…011001100100000
32121210212201012200
4330203323030200
54040102103324
6244453253200
734115200152
oct7443731440
92553781180
101016050464
11481596830
12244334200
131326699c0
1498d28ad2
155e301ec9
hex3c8fb320

1016050464 has 144 divisors (see below), whose sum is σ = 3394669824. Its totient is φ = 284198400.

The previous prime is 1016050447. The next prime is 1016050471. The reversal of 1016050464 is 4640506101.

1016050464 is a `hidden beast` number, since 10 + 1 + 605 + 0 + 46 + 4 = 666.

1016050464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28849 + ... + 53519.

It is an arithmetic number, because the mean of its divisors is an integer number (23574096).

Almost surely, 21016050464 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 1016050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697334912).

1016050464 is an abundant number, since it is smaller than the sum of its proper divisors (2378619360).

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

1016050464 is a wasteful number, since it uses less digits than its factorization.

1016050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24711 (or 24700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1016050464 is about 31875.5464894329. The cubic root of 1016050464 is about 1005.3217830517.

Adding to 1016050464 its reverse (4640506101), we get a palindrome (5656556565).

The spelling of 1016050464 in words is "one billion, sixteen million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 24671 41184 49342 74013 98684 148026 197368 222039 271381 296052 320723 394736 444078 542762 592104 641446 789472 814143 888156 962169 1085524 1184208 1282892 1628286 1776312 1924338 2171048 2368416 2442429 2565784 2886507 3256572 3527953 3552624 3848676 4342096 4884858 5131568 5773014 6513144 7055906 7105248 7697352 8684192 9769716 10263136 10583859 11546028 13026288 14111812 15394704 19539432 21167718 23092056 26052576 28223624 30789408 31751577 39078864 42335436 46184112 56447248 63503154 78157728 84670872 92368224 112894496 127006308 169341744 254012616 338683488 508025232 1016050464