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48634861489928 = 237337701683351
BaseRepresentation
bin10110000111011101011111…
…01001001000111100001000
320101012110002010012122111122
423003232233221020330020
522333313144020134203
6251234314045214412
713146516130511000
oct1303565751107410
9211173063178448
1048634861489928
1114550a244481aa
125555918861408
13211a32b43496c
14c01d22d71000
15595187320538
hex2c3bafa48f08

48634861489928 has 128 divisors (see below), whose sum is σ = 109374587712000. Its totient is φ = 20251213920000.

The previous prime is 48634861489873. The next prime is 48634861489931. The reversal of 48634861489928 is 82998416843684.

48634861489928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70829453 + ... + 71512803.

It is an arithmetic number, because the mean of its divisors is an integer number (854488966500).

Almost surely, 248634861489928 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 48634861489928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54687293856000).

48634861489928 is an abundant number, since it is smaller than the sum of its proper divisors (60739726222072).

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

48634861489928 is a wasteful number, since it uses less digits than its factorization.

48634861489928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684116 (or 684098 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 80.

The spelling of 48634861489928 in words is "forty-eight trillion, six hundred thirty-four billion, eight hundred sixty-one million, four hundred eighty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 343 392 518 686 701 1036 1372 1402 1813 2072 2744 2804 3626 4907 5608 7252 9814 12691 14504 19628 25382 25937 34349 39256 50764 51874 68698 101528 103748 137396 181559 207496 240443 274792 363118 480886 683351 726236 961772 1270913 1366702 1452472 1923544 2541826 2733404 4783457 5083652 5466808 8896391 9566914 10167304 17792782 19133828 25283987 33484199 35585564 38267656 50567974 66968398 71171128 101135948 133936796 176987909 202271896 234389393 267873592 353975818 468778786 479029051 707951636 937557572 958058102 1238915363 1415903272 1875115144 1916116204 2477830726 3353203357 3832232408 4955661452 6706406714 8672407541 9911322904 13412813428 17344815082 17724074887 23472423499 26825626856 34689630164 35448149774 46944846998 69379260328 70896299548 93889693996 124068524209 141792599096 164306964493 187779387992 248137048418 328613928986 496274096836 657227857972 868479669463 992548193672 1314455715944 1736959338926 3473918677852 6079357686241 6947837355704 12158715372482 24317430744964 48634861489928