Search a number
-
+
4596140016 = 2433134119961
BaseRepresentation
bin1000100011111001…
…11000011111110000
3102212022110002211000
410101330320133300
533403102440031
62040023122000
7221616355056
oct42174703760
912768402730
104596140016
111a49446026
12a832a3300
135832983a0
143185b41d6
151bd77e3e6
hex111f387f0

4596140016 has 160 divisors (see below), whose sum is σ = 14554693440. Its totient is φ = 1379635200.

The previous prime is 4596139997. The next prime is 4596140027. The reversal of 4596140016 is 6100416954.

It is a super-2 number, since 2×45961400162 = 42249006093352960512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220276 + ... + 240236.

It is an arithmetic number, because the mean of its divisors is an integer number (90966834).

Almost surely, 24596140016 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 4596140016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277346720).

4596140016 is an abundant number, since it is smaller than the sum of its proper divisors (9958553424).

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

4596140016 is a wasteful number, since it uses less digits than its factorization.

4596140016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20032 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4596140016 is about 67794.8376795756. The cubic root of 4596140016 is about 1662.6381836712.

The spelling of 4596140016 in words is "four billion, five hundred ninety-six million, one hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 104 108 117 123 144 156 164 208 216 234 246 312 328 351 369 432 468 492 533 624 656 702 738 936 984 1066 1107 1404 1476 1599 1872 1968 2132 2214 2808 2952 3198 4264 4428 4797 5616 5904 6396 8528 8856 9594 12792 14391 17712 19188 19961 25584 28782 38376 39922 57564 59883 76752 79844 115128 119766 159688 179649 230256 239532 259493 319376 359298 479064 518986 538947 718596 778479 818401 958128 1037972 1077894 1437192 1556958 1636802 2075944 2155788 2335437 2455203 2874384 3113916 3273604 4151888 4311576 4670874 4910406 6227832 6547208 7006311 7365609 8623152 9341748 9820812 10639213 12455664 13094416 14012622 14731218 18683496 19641624 21278426 22096827 28025244 29462436 31917639 37366992 39283248 42556852 44193654 56050488 58924872 63835278 85113704 88387308 95752917 112100976 117849744 127670556 170227408 176774616 191505834 255341112 287258751 353549232 383011668 510682224 574517502 766023336 1149035004 1532046672 2298070008 4596140016