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490002304960 = 2657231250147
BaseRepresentation
bin1110010000101100110…
…10011100111111000000
31201211210002210011221001
413020112122130333000
531012011042224320
61013034241541344
750254466604400
oct7102632347700
91654702704831
10490002304960
11179899588213
127ab70944854
133728ca897ac
1419a05500800
15cb2d07d20a
hex721669cfc0

490002304960 has 84 divisors (see below), whose sum is σ = 1357318928232. Its totient is φ = 168000784896.

The previous prime is 490002304951. The next prime is 490002304991. The reversal of 490002304960 is 69403200094.

It is a super-2 number, since 2×4900023049602 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15609394 + ... + 15640753.

Almost surely, 2490002304960 is an apocalyptic number.

490002304960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490002304960 is an abundant number, since it is smaller than the sum of its proper divisors (867316623272).

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

490002304960 is a wasteful number, since it uses less digits than its factorization.

490002304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31250178 (or 31250161 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 490002304960 in words is "four hundred ninety billion, two million, three hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 31250147 62500294 125000588 156250735 218751029 250001176 312501470 437502058 500002352 625002940 875004116 1000004704 1093755145 1250005880 1531257203 1750008232 2000009408 2187510290 2500011760 3062514406 3500016464 4375020580 5000023520 6125028812 7000032928 7656286015 8750041160 10000047040 12250057624 14000065856 15312572030 17500082320 24500115248 30625144060 35000164640 49000230496 61250288120 70000329280 98000460992 122500576240 245001152480 490002304960