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481761427232 = 2529242312
BaseRepresentation
bin1110000001010110011…
…01111111111100100000
31201001111210010012220102
413000223031333330200
530343121411132412
61005152415201532
746543332364661
oct7005315777440
91631453105812
10481761427232
1117634a847868
1279450b162a8
1336578679197
1419462c53368
15c7e98518c2
hex702b37ff20

481761427232 has 54 divisors (see below), whose sum is σ = 982533604689. Its totient is φ = 232519512960.

The previous prime is 481761427219. The next prime is 481761427249. The reversal of 481761427232 is 232724167184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 481475005456 + 286421776 = 693884^2 + 16924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=490796.

It is a super-2 number, since 2×4817614272322 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113862557 + ... + 113866787.

Almost surely, 2481761427232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481761427232

481761427232 is an abundant number, since it is smaller than the sum of its proper divisors (500772177457).

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

481761427232 is an frugal number, since it uses more digits than its factorization.

481761427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 4262 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The spelling of 481761427232 in words is "four hundred eighty-one billion, seven hundred sixty-one million, four hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 4231 6728 8462 13456 16924 26912 33848 67696 122699 135392 245398 490796 981592 1963184 3558271 3926368 7116542 14233084 17901361 28466168 35802722 56932336 71605444 113864672 143210888 286421776 519139469 572843552 1038278938 2076557876 4153115752 8306231504 15055044601 16612463008 30110089202 60220178404 120440356808 240880713616 481761427232