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509894821212 = 223753541721143
BaseRepresentation
bin1110110101110000001…
…10011000010101011100
31210202010110001201012020
413122320012120111130
531323231033234322
61030124211340140
751560445316530
oct7327006302534
91722113051166
10509894821212
11187277374097
12829a28b1650
133911010047a
141a971407bc0
15d3e466705c
hex76b819855c

509894821212 has 96 divisors (see below), whose sum is σ = 1385695890432. Its totient is φ = 142902329856.

The previous prime is 509894821211. The next prime is 509894821213. The reversal of 509894821212 is 212128498905.

It is an interprime number because it is at equal distance from previous prime (509894821211) and next prime (509894821213).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509894821211) 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 31 ways as a sum of consecutive naturals, for example, 24105913 + ... + 24127055.

It is an arithmetic number, because the mean of its divisors is an integer number (14434332192).

Almost surely, 2509894821212 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 509894821212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692847945216).

509894821212 is an abundant number, since it is smaller than the sum of its proper divisors (875801069220).

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

509894821212 is a wasteful number, since it uses less digits than its factorization.

509894821212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627 (or 26625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 509894821212 in words is "five hundred nine billion, eight hundred ninety-four million, eight hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 5417 10834 16251 21143 21668 32502 37919 42286 63429 65004 75838 84572 113757 126858 148001 151676 227514 253716 287101 296002 444003 455028 574202 592004 861303 888006 1120579 1148404 1722606 1776012 2009707 2241158 3361737 3445212 4019414 4482316 6029121 6723474 7844053 8038828 12058242 13446948 15688106 23532159 24116484 31376212 47064318 94128636 114531631 229063262 343594893 458126524 687189786 801721417 1374379572 1603442834 2405164251 3206885668 4810328502 6070176443 9620657004 12140352886 18210529329 24280705772 36421058658 42491235101 72842117316 84982470202 127473705303 169964940404 254947410606 509894821212