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490657866100 = 225223312221987
BaseRepresentation
bin1110010001111010111…
…11001110000101110100
31201220110210100010202021
413020331133032011310
531014331403203400
61013223300522524
750306650022353
oct7107537160564
91656423303667
10490657866100
1117a0a5634a86
127b1143b0444
1337365839aac
1419a685cb99a
15cb6a8c371a
hex723d7ce174

490657866100 has 108 divisors (see below), whose sum is σ = 1148020709472. Its totient is φ = 181673342400.

The previous prime is 490657866091. The next prime is 490657866151. The reversal of 490657866100 is 1668756094.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2099307 + ... + 2321293.

It is an arithmetic number, because the mean of its divisors is an integer number (10629821384).

Almost surely, 2490657866100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490657866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574010354736).

490657866100 is an abundant number, since it is smaller than the sum of its proper divisors (657362843372).

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

490657866100 is a wasteful number, since it uses less digits than its factorization.

490657866100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222086 (or 222048 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 490657866100 in words is "four hundred ninety billion, six hundred fifty-seven million, eight hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 961 1150 1426 1550 1922 2300 2852 3100 3565 3844 4805 7130 9610 14260 17825 19220 22103 24025 35650 44206 48050 71300 88412 96100 110515 221030 221987 442060 443974 552575 887948 1105150 1109935 2210300 2219870 4439740 5105701 5549675 6881597 10211402 11099350 13763194 20422804 22198700 25528505 27526388 34407985 51057010 68815970 102114020 127642525 137631940 158276731 172039925 213329507 255285050 316553462 344079850 426659014 510570100 633106924 688159700 791383655 853318028 1066647535 1582767310 2133295070 3165534620 3956918275 4266590140 4906578661 5333237675 7913836550 9813157322 10666475350 15827673100 19626314644 21332950700 24532893305 49065786610 98131573220 122664466525 245328933050 490657866100