Search a number
-
+
464533445064 = 2331315782111551
BaseRepresentation
bin1101100001010000101…
…10011101100111001000
31122102001010122001020210
412300220112131213020
530102331030220224
6553223111521120
745363400063503
oct6605026354710
91572033561223
10464533445064
1116a00a023877
12760433891a0
1334a613820b0
14186aab8a13a
15c13c144429
hex6c2859d9c8

464533445064 has 128 divisors (see below), whose sum is σ = 1260275143680. Its totient is φ = 141837696000.

The previous prime is 464533445029. The next prime is 464533445083. The reversal of 464533445064 is 460544335464.

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, 40210089 + ... + 40221639.

It is an arithmetic number, because the mean of its divisors is an integer number (9845899560).

Almost surely, 2464533445064 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 464533445064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630137571840).

464533445064 is an abundant number, since it is smaller than the sum of its proper divisors (795741698616).

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

464533445064 is a wasteful number, since it uses less digits than its factorization.

464533445064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 464533445064 in words is "four hundred sixty-four billion, five hundred thirty-three million, four hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 821 942 1256 1642 1884 2041 2463 3284 3768 4082 4926 6123 6568 8164 9852 10673 11551 12246 16328 19704 21346 23102 24492 32019 34653 42692 46204 48984 64038 69306 85384 92408 128076 128897 138612 150163 256152 257794 277224 300326 386691 450489 515588 600652 773382 900978 1031176 1201304 1546764 1675661 1801956 1813507 3093528 3351322 3603912 3627014 5026983 5440521 6702644 7254028 9483371 10053966 10881042 13405288 14508056 18966742 20107932 21762084 23575591 28450113 37933484 40215864 43524168 47151182 56900226 70726773 75866968 94302364 113800452 123283823 141453546 188604728 227600904 246567646 282907092 369851469 493135292 565814184 739702938 986270584 1479405876 1488889247 2958811752 2977778494 4466667741 5955556988 8933335482 11911113976 17866670964 19355560211 35733341928 38711120422 58066680633 77422240844 116133361266 154844481688 232266722532 464533445064