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48758214000 = 243539783777
BaseRepresentation
bin101101011010001101…
…110100110101110000
311122212001011220110210
4231122031310311300
51244324100322000
634222121424120
73344162660256
oct553215646560
9148761156423
1048758214000
1119750816931
12954903b040
1347a0707b02
1425078445d6
151405853350
hexb5a374d70

48758214000 has 160 divisors (see below), whose sum is σ = 158818959936. Its totient is φ = 12867993600.

The previous prime is 48758213891. The next prime is 48758214007. The reversal of 48758214000 is 41285784.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 48758214000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48758214007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 540112 + ... + 623888.

Almost surely, 248758214000 is an apocalyptic number.

48758214000 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 48758214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79409479968).

48758214000 is an abundant number, since it is smaller than the sum of its proper divisors (110060745936).

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

48758214000 is a wasteful number, since it uses less digits than its factorization.

48758214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83900 (or 83884 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

Adding to 48758214000 its reverse (41285784), we get a palindrome (48799499784).

The spelling of 48758214000 in words is "forty-eight billion, seven hundred fifty-eight million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 125 150 194 200 240 250 291 300 375 388 400 485 500 582 600 750 776 970 1000 1164 1200 1455 1500 1552 1940 2000 2328 2425 2910 3000 3880 4656 4850 5820 6000 7275 7760 9700 11640 12125 14550 19400 23280 24250 29100 36375 38800 48500 58200 72750 83777 97000 116400 145500 167554 194000 251331 291000 335108 418885 502662 582000 670216 837770 1005324 1256655 1340432 1675540 2010648 2094425 2513310 3351080 4021296 4188850 5026620 6283275 6702160 8126369 8377700 10053240 10472125 12566550 16252738 16755400 20106480 20944250 24379107 25133100 31416375 32505476 33510800 40631845 41888500 48758214 50266200 62832750 65010952 81263690 83777000 97516428 100532400 121895535 125665500 130021904 162527380 167554000 195032856 203159225 243791070 251331000 325054760 390065712 406318450 487582140 502662000 609477675 650109520 812636900 975164280 1015796125 1218955350 1625273800 1950328560 2031592250 2437910700 3047388375 3250547600 4063184500 4875821400 6094776750 8126369000 9751642800 12189553500 16252738000 24379107000 48758214000