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48684230226 = 233231092711327
BaseRepresentation
bin101101010101110011…
…100110011001010010
311122122212222010211000
4231111303212121102
51244201130331401
634210520002430
73342304062162
oct552563463122
9148585863730
1048684230226
1119712a84815
129528300416
13478b2a2c28
1424dbaa65a2
1513ee0dc186
hexb55ce6652

48684230226 has 128 divisors (see below), whose sum is σ = 114433228800. Its totient is φ = 15311799360.

The previous prime is 48684230219. The next prime is 48684230263. The reversal of 48684230226 is 62203248684.

It is a super-2 number, since 2×486842302262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36686775 + ... + 36688101.

It is an arithmetic number, because the mean of its divisors is an integer number (894009600).

Almost surely, 248684230226 is an apocalyptic number.

48684230226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48684230226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57216614400).

48684230226 is an abundant number, since it is smaller than the sum of its proper divisors (65748998574).

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

48684230226 is a wasteful number, since it uses less digits than its factorization.

48684230226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48684230226 in words is "forty-eight billion, six hundred eighty-four million, two hundred thirty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 109 138 207 218 271 327 414 542 621 654 813 981 1242 1327 1626 1962 2439 2507 2654 2943 3981 4878 5014 5886 6233 7317 7521 7962 11943 12466 14634 15042 18699 22563 23886 29539 30521 35829 37398 45126 56097 59078 61042 67689 71658 88617 91563 112194 135378 144643 168291 177234 183126 265851 274689 289286 336582 359617 433929 531702 549378 679397 719234 797553 824067 867858 1078851 1301787 1358794 1595106 1648134 2038191 2157702 2603574 3236553 3326789 3905361 4076382 6114573 6473106 6653578 7810722 8271191 9709659 9980367 12229146 16542382 18343719 19419318 19960734 24813573 29941101 36687438 39198253 49627146 59882202 74440719 78396506 89823303 117594759 148881438 179646606 223322157 235189518 352784277 446644314 705568554 901559819 1058352831 1803119638 2116705662 2704679457 5409358914 8114038371 16228076742 24342115113 48684230226