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48873214000 = 2453132517489
BaseRepresentation
bin101101100001000100…
…100001000000110000
311200011001120111211001
4231201010201000300
51300043020322000
634241350331344
73350060315242
oct554104410060
9150131514731
1048873214000
11197aa723056
12957b659b54
1347bb4a0c50
142518c1c092
1514109bc46a
hexb61121030

48873214000 has 160 divisors (see below), whose sum is σ = 127789945920. Its totient is φ = 17971200000.

The previous prime is 48873213947. The next prime is 48873214001. The reversal of 48873214000 is 41237884.

It is not an unprimeable number, because it can be changed into a prime (48873214001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6522256 + ... + 6529744.

It is an arithmetic number, because the mean of its divisors is an integer number (798687162).

Almost surely, 248873214000 is an apocalyptic number.

48873214000 is a gapful number since it is divisible by the number (40) 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 48873214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63894972960).

48873214000 is an abundant number, since it is smaller than the sum of its proper divisors (78916731920).

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

48873214000 is a wasteful number, since it uses less digits than its factorization.

48873214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 48873214000 in words is "forty-eight billion, eight hundred seventy-three million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 251 260 325 400 500 502 520 650 1000 1004 1040 1255 1300 1625 2000 2008 2510 2600 3250 3263 4016 5020 5200 6275 6500 6526 7489 10040 12550 13000 13052 14978 16315 20080 25100 26000 26104 29956 31375 32630 37445 50200 52208 59912 62750 65260 74890 81575 97357 100400 119824 125500 130520 149780 163150 187225 194714 251000 261040 299560 326300 374450 389428 407875 486785 502000 599120 652600 748900 778856 815750 936125 973570 1305200 1497800 1557712 1631500 1872250 1879739 1947140 2433925 2995600 3263000 3744500 3759478 3894280 4867850 6526000 7489000 7518956 7788560 9398695 9735700 12169625 14978000 15037912 18797390 19471400 24339250 24436607 30075824 37594780 38942800 46993475 48678500 48873214 75189560 93986950 97357000 97746428 122183035 150379120 187973900 194714000 195492856 234967375 244366070 375947800 390985712 469934750 488732140 610915175 751895600 939869500 977464280 1221830350 1879739000 1954928560 2443660700 3054575875 3759478000 4887321400 6109151750 9774642800 12218303500 24436607000 48873214000