Search a number
-
+
480066407700 = 2235211712048939
BaseRepresentation
bin1101111110001100011…
…00000000110100010100
31200220010122122022020020
412333012030000310110
530331134000021300
61004312305105140
746453331065035
oct6770614006424
91626118568206
10480066407700
1117565aa76580
12790593281b0
1336368454849
1419341aa6a8c
15c74ab338a0
hex6fc6300d14

480066407700 has 144 divisors (see below), whose sum is σ = 1536606650880. Its totient is φ = 114740528000.

The previous prime is 480066407699. The next prime is 480066407761. The reversal of 480066407700 is 7704660084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790170 + ... + 1258769.

It is an arithmetic number, because the mean of its divisors is an integer number (10670879520).

Almost surely, 2480066407700 is an apocalyptic number.

It is an amenable number.

480066407700 is an abundant number, since it is smaller than the sum of its proper divisors (1056540243180).

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

480066407700 is a wasteful number, since it uses less digits than its factorization.

480066407700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049038 (or 2049031 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 480066407700 in words is "four hundred eighty billion, sixty-six million, four hundred seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 117150 234300 2048939 4097878 6146817 8195756 10244695 12293634 20489390 22538329 24587268 30734085 40978780 45076658 51223475 61468170 67614987 90153316 102446950 112691645 122936340 135229974 145474669 153670425 204893900 225383290 270459948 290949338 307340850 338074935 436424007 450766580 563458225 581898676 614681700 676149870 727373345 872848014 1126916450 1352299740 1454746690 1600221359 1690374675 1745696028 2182120035 2253832900 2909493380 3200442718 3380749350 3636866725 4364240070 4800664077 6400885436 6761498700 7273733450 8001106795 8728480140 9601328154 10910600175 14547466900 16002213590 19202656308 21821200350 24003320385 32004427180 40005533975 43642400700 48006640770 80011067950 96013281540 120016601925 160022135900 240033203850 480066407700