Search a number
-
+
4650789312 = 26341369011
BaseRepresentation
bin1000101010011010…
…10110100111000000
3110000010021120120000
410111031112213000
534011100224222
62045254320000
7223152025341
oct42515264700
913003246500
104650789312
111a77281934
12a99659000
135916c0a50
1432195c0c8
151c34769ac
hex1153569c0

4650789312 has 140 divisors (see below), whose sum is σ = 14847103656. Its totient is φ = 1430991360.

The previous prime is 4650789287. The next prime is 4650789323. The reversal of 4650789312 is 2139870564.

4650789312 is a `hidden beast` number, since 46 + 507 + 8 + 93 + 12 = 666.

4650789312 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46507893122 = 43259682449226866688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

4650789312 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32887 + ... + 101897.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4650789312 = 9301578624, but 3⋅4650789312 = 13952367936 is not.

Almost surely, 24650789312 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 4650789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423551828).

4650789312 is an abundant number, since it is smaller than the sum of its proper divisors (10196314344).

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

4650789312 is a wasteful number, since it uses less digits than its factorization.

4650789312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69048 (or 69029 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4650789312 is about 68196.6957557329. The cubic root of 4650789312 is about 1669.2019699379.

The spelling of 4650789312 in words is "four billion, six hundred fifty million, seven hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 69011 138022 207033 276044 414066 552088 621099 828132 897143 1104176 1242198 1656264 1794286 1863297 2208352 2484396 2691429 3312528 3588572 3726594 4416704 4968792 5382858 5589891 6625056 7177144 7453188 8074287 9937584 10765716 11179782 13250112 14354288 14906376 16148574 19875168 21531432 22359564 24222861 28708576 29812752 32297148 39750336 43062864 44719128 48445722 57417152 59625504 64594296 72668583 86125728 89438256 96891444 119251008 129188592 145337166 172251456 178876512 193782888 258377184 290674332 357753024 387565776 516754368 581348664 775131552 1162697328 1550263104 2325394656 4650789312