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47321164000 = 255311297771
BaseRepresentation
bin101100000100100011…
…111010100011100000
311112010220010012110201
4230010203322203200
51233403204222000
633423344434544
73263443154155
oct540443724340
9145126105421
1047321164000
1119083621a00
129207918a54
134601a86476
14240ca4a22c
15136e5e096a
hexb048fa8e0

47321164000 has 144 divisors (see below), whose sum is σ = 127800127728. Its totient is φ = 17207520000.

The previous prime is 47321163997. The next prime is 47321164013. The reversal of 47321164000 is 46112374.

It is a self number, because there is not a number n which added to its sum of digits gives 47321164000.

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, 435115 + ... + 532885.

It is an arithmetic number, because the mean of its divisors is an integer number (887500887).

Almost surely, 247321164000 is an apocalyptic number.

47321164000 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 47321164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63900063864).

47321164000 is an abundant number, since it is smaller than the sum of its proper divisors (80478963728).

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

47321164000 is a wasteful number, since it uses less digits than its factorization.

47321164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97818 (or 97789 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 47321164000 its reverse (46112374), we get a palindrome (47367276374).

The spelling of 47321164000 in words is "forty-seven billion, three hundred twenty-one million, one hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 96800 97771 121000 195542 242000 391084 484000 488855 782168 977710 1075481 1564336 1955420 2150962 2444275 3128672 3910840 4301924 4888550 5377405 7821680 8603848 9777100 10754810 11830291 12221375 15643360 17207696 19554200 21509620 23660582 24442750 26887025 34415392 39108400 43019240 47321164 48885500 53774050 59151455 78216800 86038480 94642328 97771000 107548100 118302910 134435125 172076960 189284656 195542000 215096200 236605820 268870250 295757275 378569312 391084000 430192400 473211640 537740500 591514550 860384800 946423280 1075481000 1183029100 1478786375 1892846560 2150962000 2366058200 2957572750 4301924000 4732116400 5915145500 9464232800 11830291000 23660582000 47321164000