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214361664450 = 235259170914173
BaseRepresentation
bin1100011110100011110…
…0110110101111000010
3202111022020021211102120
43013220330312233002
512003003041230300
6242250522225110
721326040040563
oct3075074665702
9674266254376
10214361664450
1182a0163127a
1235665355196
13172a283958b
14a53762016a
1558991e73a0
hex31e8f36bc2

214361664450 has 96 divisors (see below), whose sum is σ = 540981892800. Its totient is φ = 56157400320.

The previous prime is 214361664443. The next prime is 214361664481. The reversal of 214361664450 is 54466163412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15117564 + ... + 15131736.

It is an arithmetic number, because the mean of its divisors is an integer number (5635228050).

Almost surely, 2214361664450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214361664450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270490946400).

214361664450 is an abundant number, since it is smaller than the sum of its proper divisors (326620228350).

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

214361664450 is a wasteful number, since it uses less digits than its factorization.

214361664450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15951 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 214361664450 in words is "two hundred fourteen billion, three hundred sixty-one million, six hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1709 1770 2950 3418 4425 5127 8545 8850 10254 14173 17090 25635 28346 42519 42725 51270 70865 85038 85450 100831 128175 141730 201662 212595 256350 302493 354325 425190 504155 604986 708650 836207 1008310 1062975 1512465 1672414 2125950 2508621 2520775 3024930 4181035 5017242 5041550 7562325 8362070 12543105 15124650 20905175 24221657 25086210 41810350 48443314 62715525 72664971 121108285 125431050 145329942 242216570 363324855 605541425 726649710 1211082850 1429077763 1816624275 2858155526 3633248550 4287233289 7145388815 8574466578 14290777630 21436166445 35726944075 42872332890 71453888150 107180832225 214361664450