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481481910100 = 225217283224653
BaseRepresentation
bin1110000000110101000…
…11101110011101010100
31201000210022011021111001
413000122203232131110
530342033332110400
61005104552153044
746533366465142
oct7003243563524
91630708137431
10481481910100
11176216a93474
1279393398784
13365327a0529
1419437a92592
15c7d003ba6a
hex701a8ee754

481481910100 has 36 divisors (see below), whose sum is σ = 1106275498524. Its totient is φ = 181263777280.

The previous prime is 481481910043. The next prime is 481481910101. The reversal of 481481910100 is 1019184184.

It can be written as a sum of positive squares in 6 ways, for example, as 8847659844 + 472634250256 = 94062^2 + 687484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 481481910100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481481910101) by changing a digit.

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, 141610627 + ... + 141614026.

It is an arithmetic number, because the mean of its divisors is an integer number (30729874959).

Almost surely, 2481481910100 is an apocalyptic number.

It is an amenable number.

481481910100 is an abundant number, since it is smaller than the sum of its proper divisors (624793588424).

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

481481910100 is a wasteful number, since it uses less digits than its factorization.

481481910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283224684 (or 283224677 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 481481910100 in words is "four hundred eighty-one billion, four hundred eighty-one million, nine hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 283224653 566449306 1132898612 1416123265 2832246530 4814819101 5664493060 7080616325 9629638202 14161232650 19259276404 24074095505 28322465300 48148191010 96296382020 120370477525 240740955050 481481910100