Search a number
-
+
4626494064 = 243331794373
BaseRepresentation
bin1000100111100001…
…01011001001110000
3102221102120020202000
410103300223021300
533433340302224
62043025454000
7222435356613
oct42360531160
912842506660
104626494064
111a64598515
12a914a1300
1358966556a
1431c63617a
151c12780c9
hex113c2b270

4626494064 has 160 divisors (see below), whose sum is σ = 13884825600. Its totient is φ = 1473189120.

The previous prime is 4626494029. The next prime is 4626494071. The reversal of 4626494064 is 4604946264.

It is a congruent number.

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, 1055782 + ... + 1060154.

It is an arithmetic number, because the mean of its divisors is an integer number (86780160).

Almost surely, 24626494064 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 4626494064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942412800).

4626494064 is an abundant number, since it is smaller than the sum of its proper divisors (9258331536).

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

4626494064 is a wasteful number, since it uses less digits than its factorization.

4626494064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4626494064 is about 68018.3362336951. The cubic root of 4626494064 is about 1666.2903138126.

The spelling of 4626494064 in words is "four billion, six hundred twenty-six million, four hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 79 93 108 124 144 158 186 216 237 248 279 316 372 432 474 496 558 632 711 744 837 948 1116 1264 1422 1488 1674 1896 2133 2232 2449 2844 3348 3792 4266 4373 4464 4898 5688 6696 7347 8532 8746 9796 11376 13119 13392 14694 17064 17492 19592 22041 26238 29388 34128 34984 39184 39357 44082 52476 58776 66123 69968 78714 88164 104952 117552 118071 132246 135563 157428 176328 209904 236142 264492 271126 314856 345467 352656 406689 472284 528984 542252 629712 690934 813378 944568 1036401 1057968 1084504 1220067 1381868 1626756 1889136 2072802 2169008 2440134 2763736 3109203 3253512 3660201 4145604 4880268 5527472 6218406 6507024 7320402 8291208 9327609 9760536 10709477 12436812 14640804 16582416 18655218 19521072 21418954 24873624 29281608 32128431 37310436 42837908 49747248 58563216 64256862 74620872 85675816 96385293 128513724 149241744 171351632 192770586 257027448 289155879 385541172 514054896 578311758 771082344 1156623516 1542164688 2313247032 4626494064