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4645654048 = 257311315107
BaseRepresentation
bin1000101001110011…
…10000111000100000
3102222202121200022001
410110321300320200
534003241412143
62044552253344
7223060256620
oct42471607040
912882550261
104645654048
111a74394712
12a979a1254
13590613529
14320dc2880
151c2cb014d
hex114e70e20

4645654048 has 96 divisors (see below), whose sum is σ = 10874400768. Its totient is φ = 1911686400.

The previous prime is 4645654019. The next prime is 4645654049. The reversal of 4645654048 is 8404565464.

It is a junction number, because it is equal to n+sod(n) for n = 4645653989 and 4645654007.

It is not an unprimeable number, because it can be changed into a prime (4645654049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907111 + ... + 912217.

It is an arithmetic number, because the mean of its divisors is an integer number (113275008).

Almost surely, 24645654048 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 4645654048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437200384).

4645654048 is an abundant number, since it is smaller than the sum of its proper divisors (6228746720).

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

4645654048 is a wasteful number, since it uses less digits than its factorization.

4645654048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The square root of 4645654048 is about 68159.0349696942. The cubic root of 4645654048 is about 1668.5873825312.

The spelling of 4645654048 in words is "four billion, six hundred forty-five million, six hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 131 217 224 248 262 434 496 524 868 917 992 1048 1736 1834 2096 3472 3668 4061 4192 5107 6944 7336 8122 10214 14672 16244 20428 28427 29344 32488 35749 40856 56854 64976 71498 81712 113708 129952 142996 158317 163424 227416 285992 316634 454832 571984 633268 669017 909664 1108219 1143968 1266536 1338034 2216438 2533072 2676068 4432876 4683119 5066144 5352136 8865752 9366238 10704272 17731504 18732476 20739527 21408544 35463008 37464952 41479054 74929904 82958108 145176689 149859808 165916216 290353378 331832432 580706756 663664864 1161413512 2322827024 4645654048