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48357523968 = 293133178121
BaseRepresentation
bin101101000010010101…
…010100001000000000
311121211010012202002020
4231002111110020000
51243014011231333
634114245321440
73331226112615
oct550225241000
9147733182066
1048357523968
111956561a546
129456a06280
1347386b4410
1424aa54050c
1513d05a53b3
hexb42554200

48357523968 has 160 divisors (see below), whose sum is σ = 143214500352. Its totient is φ = 14399078400.

The previous prime is 48357523957. The next prime is 48357523997. The reversal of 48357523968 is 86932575384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579948 + ... + 658068.

Almost surely, 248357523968 is an apocalyptic number.

48357523968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48357523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71607250176).

48357523968 is an abundant number, since it is smaller than the sum of its proper divisors (94856976384).

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

48357523968 is a wasteful number, since it uses less digits than its factorization.

48357523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78186 (or 78170 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 48357523968 in words is "forty-eight billion, three hundred fifty-seven million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 992 1209 1248 1488 1536 1612 1664 1984 2418 2496 2976 3224 3328 3968 4836 4992 5952 6448 6656 7936 9672 9984 11904 12896 15872 19344 19968 23808 25792 38688 47616 51584 77376 78121 103168 154752 156242 206336 234363 309504 312484 468726 619008 624968 937452 1015573 1249936 1874904 2031146 2421751 2499872 3046719 3749808 4062292 4843502 4999744 6093438 7265253 7499616 8124584 9687004 9999488 12186876 14530506 14999232 16249168 19374008 19998976 24373752 29061012 29998464 31482763 32498336 38748016 39997952 48747504 58122024 59996928 62965526 64996672 77496032 94448289 97495008 116244048 119993856 125931052 129993344 154992064 188896578 194990016 232488096 251862104 259986688 309984128 377793156 389980032 464976192 503724208 519973376 619968256 755586312 779960064 929952384 1007448416 1239936512 1511172624 1559920128 1859904768 2014896832 3022345248 3719809536 4029793664 6044690496 8059587328 12089380992 16119174656 24178761984 48357523968