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48812705144 = 23722341132049
BaseRepresentation
bin101101011101011101…
…101100010101111000
311122222211201100021022
4231131131230111320
51244432023031034
634231345402012
73345424101500
oct553535542570
9148884640238
1048812705144
1119779554935
129563339308
1347abaa64a8
142510b8aa00
15140a518b2e
hexb5d76c578

48812705144 has 96 divisors (see below), whose sum is σ = 113805972000. Its totient is φ = 19521976320.

The previous prime is 48812705111. The next prime is 48812705191. The reversal of 48812705144 is 44150721884.

It is a junction number, because it is equal to n+sod(n) for n = 48812705095 and 48812705104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303632 + ... + 435680.

It is an arithmetic number, because the mean of its divisors is an integer number (1185478875).

Almost surely, 248812705144 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 48812705144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56902986000).

48812705144 is an abundant number, since it is smaller than the sum of its proper divisors (64993266856).

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

48812705144 is a wasteful number, since it uses less digits than its factorization.

48812705144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132133 (or 132122 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 48812705144 in words is "forty-eight billion, eight hundred twelve million, seven hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 41 46 49 56 82 92 98 161 164 184 196 287 322 328 392 574 644 943 1127 1148 1288 1886 2009 2254 2296 3772 4018 4508 6601 7544 8036 9016 13202 16072 26404 46207 52808 92414 132049 184828 264098 369656 528196 924343 1056392 1848686 3037127 3697372 5414009 6074254 6470401 7394744 10828018 12148508 12940802 21259889 21656036 24297016 25881604 37898063 42519778 43312072 51763208 75796126 85039556 124522207 148819223 151592252 170079112 249044414 265286441 297638446 303184504 498088828 530572882 595276892 871655449 996177656 1061145764 1190553784 1743310898 2122291528 3486621796 6101588143 6973243592 12203176286 24406352572 48812705144