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46848230656 = 2811313711821
BaseRepresentation
bin101011101000010111…
…110100010100000000
311110220221012200212221
4223220113310110000
51231421121340111
633304412100424
73245641250563
oct535027642400
9143827180787
1046848230656
11189606720a7
1290b5464714
134557aba156
1423a5cdc4da
151342d22371
hexae85f4500

46848230656 has 72 divisors (see below), whose sum is σ = 95037672744. Its totient is φ = 23045406720.

The previous prime is 46848230647. The next prime is 46848230711. The reversal of 46848230656 is 65603284864.

It can be written as a sum of positive squares in 4 ways, for example, as 399360256 + 46448870400 = 19984^2 + 215520^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3957226 + ... + 3969046.

It is an arithmetic number, because the mean of its divisors is an integer number (1319967677).

Almost surely, 246848230656 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 46848230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47518836372).

46848230656 is an abundant number, since it is smaller than the sum of its proper divisors (48189442088).

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

46848230656 is a wasteful number, since it uses less digits than its factorization.

46848230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 46848230656 in words is "forty-six billion, eight hundred forty-eight million, two hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 113 128 137 226 256 274 452 548 904 1096 1808 2192 3616 4384 7232 8768 11821 14464 15481 17536 23642 28928 30962 35072 47284 61924 94568 123848 189136 247696 378272 495392 756544 990784 1335773 1513088 1619477 1981568 2671546 3026176 3238954 3963136 5343092 6477908 10686184 12955816 21372368 25911632 42744736 51823264 85489472 103646528 170978944 183000901 207293056 341957888 366001802 414586112 732003604 1464007208 2928014416 5856028832 11712057664 23424115328 46848230656