Search a number
-
+
312500000016 = 24322170138889
BaseRepresentation
bin1001000110000100111…
…00111001010100010000
31002212121122212211011200
410203002130321110100
520110000000000031
6355321023311200
731402020113151
oct4430234712420
91085548784150
10312500000016
11110592115326
125069374b500
1323612748519
14111a7315928
1581dec978e6
hex48c2739510

312500000016 has 30 divisors (see below), whose sum is σ = 874565972670. Its totient is φ = 104166666624.

The previous prime is 312499999919. The next prime is 312500000027. The reversal of 312500000016 is 610000005213.

It can be written as a sum of positive squares in only one way, i.e., 252084326400 + 60415673616 = 502080^2 + 245796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1085069301 + ... + 1085069588.

It is an arithmetic number, because the mean of its divisors is an integer number (29152199089).

Almost surely, 2312500000016 is an apocalyptic number.

312500000016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312500000016 is an abundant number, since it is smaller than the sum of its proper divisors (562065972654).

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

312500000016 is a wasteful number, since it uses less digits than its factorization.

312500000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170138903 (or 2170138894 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 312500000016 its reverse (610000005213), we get a palindrome (922500005229).

The spelling of 312500000016 in words is "three hundred twelve billion, five hundred million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2170138889 4340277778 6510416667 8680555556 13020833334 17361111112 19531250001 26041666668 34722222224 39062500002 52083333336 78125000004 104166666672 156250000008 312500000016