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500402002000000 = 2756250201001
BaseRepresentation
bin111000111000111001110101…
…1100100101111100010000000
32102121202222000220021011010111
41301301303223210233202000
51011042041300003000000
64532133301155441104
7210254565044530402
oct16161635344574200
92377688026234114
10500402002000000
1113549732a748421
1248159315bb6194
131862a9249c97c9
148b7d82c478b72
153ccb90ee51cba
hex1c71ceb92f880

500402002000000 has 112 divisors (see below), whose sum is σ = 1246102321365810. Its totient is φ = 200160800000000.

The previous prime is 500402001999953. The next prime is 500402002000003. The reversal of 500402002000000 is 200204005.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 103875070215744 + 396526931784256 = 10191912^2 + 19912984^2 .

It is a super-3 number, since 3×5004020020000003 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (500402002000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 123100501 + ... + 127100500.

Almost surely, 2500402002000000 is an apocalyptic number.

500402002000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

500402002000000 is an abundant number, since it is smaller than the sum of its proper divisors (745700319365810).

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

500402002000000 is an frugal number, since it uses more digits than its factorization.

500402002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250201045 (or 250201008 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

Adding to 500402002000000 its reverse (200204005), we get a palindrome (500402202204005).

The spelling of 500402002000000 in words is "five hundred trillion, four hundred two billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 250201001 500402002 1000804004 1251005005 2001608008 2502010010 4003216016 5004020020 6255025025 8006432032 10008040040 12510050050 16012864064 20016080080 25020100100 31275125125 32025728128 40032160160 50040200200 62550250250 80064320320 100080400400 125100500500 156375625625 160128640640 200160800800 250201001000 312751251250 400321601600 500402002000 625502502500 781878128125 800643203200 1000804004000 1251005005000 1563756256250 2001608008000 2502010010000 3127512512500 3909390640625 4003216016000 5004020020000 6255025025000 7818781281250 10008040040000 12510050050000 15637562562500 20016080080000 25020100100000 31275125125000 50040200200000 62550250250000 100080400400000 125100500500000 250201001000000 500402002000000