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505000100460 = 223558691434089
BaseRepresentation
bin1110101100101000101…
…10100000001001101100
31210021111022210010121110
413112110112200021230
531233220011203320
61023554400432020
751325242012612
oct7262426401154
91707438703543
10505000100460
11185195433a29
1281a57618610
13388100132bb
141a62930d6b2
15d209aa95e0
hex75945a026c

505000100460 has 48 divisors (see below), whose sum is σ = 1414242194400. Its totient is φ = 134643654144.

The previous prime is 505000100459. The next prime is 505000100467. The reversal of 505000100460 is 64001000505.

It is a happy number.

It is a super-2 number, since 2×5050001004602 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505000100467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364905 + ... + 1069184.

It is an arithmetic number, because the mean of its divisors is an integer number (29463379050).

Almost surely, 2505000100460 is an apocalyptic number.

It is an amenable number.

505000100460 is an abundant number, since it is smaller than the sum of its proper divisors (909242093940).

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

505000100460 is a wasteful number, since it uses less digits than its factorization.

505000100460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439970 (or 1439968 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 505000100460 its reverse (64001000505), we get a palindrome (569001100965).

The spelling of 505000100460 in words is "five hundred five billion, one hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5869 11738 17607 23476 29345 35214 58690 70428 88035 117380 176070 352140 1434089 2868178 4302267 5736356 7170445 8604534 14340890 17209068 21511335 28681780 43022670 86045340 8416668341 16833336682 25250005023 33666673364 42083341705 50500010046 84166683410 101000020092 126250025115 168333366820 252500050230 505000100460