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2463385056 = 253114749633
BaseRepresentation
bin1001001011010100…
…0100010111100000
320100200021221000120
42102311010113200
520021111310211
61044234520240
7115021266426
oct22265042740
96320257016
102463385056
111054575720
12588b96080
1330347c5c2
1419523d116
15e63e6d06
hex92d445e0

2463385056 has 96 divisors (see below), whose sum is σ = 7204474368. Its totient is φ = 730583040.

The previous prime is 2463385027. The next prime is 2463385061. The reversal of 2463385056 is 6505833642.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2463384999 and 2463385017.

It is a congruent number.

It is an unprimeable number.

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, 24816 + ... + 74448.

It is an arithmetic number, because the mean of its divisors is an integer number (75046608).

Almost surely, 22463385056 is an apocalyptic number.

It is a pronic number, being equal to 49632×49633.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463385056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602237184).

2463385056 is an abundant number, since it is smaller than the sum of its proper divisors (4741089312).

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

2463385056 is a wasteful number, since it uses less digits than its factorization.

2463385056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49704 (or 49696 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2463385056 is about 49632.4999974815. The cubic root of 2463385056 is about 1350.5503117182.

The spelling of 2463385056 in words is "two billion, four hundred sixty-three million, three hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 49632 49633 99266 148899 198532 297798 397064 545963 595596 794128 1091926 1191192 1588256 1637889 2183852 2332751 2382384 3275778 4367704 4665502 4764768 6551556 6998253 8735408 9331004 13103112 13996506 17470816 18662008 25660261 26206224 27993012 37324016 51320522 52412448 55986024 74648032 76980783 102641044 111972048 153961566 205282088 223944096 307923132 410564176 615846264 821128352 1231692528 2463385056