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500211328428 = 2232716371916937
BaseRepresentation
bin1110100011101101110…
…10110010010110101100
31202211010120212022100100
413101312322302112230
531143413100002203
61021443252431100
751065463065250
oct7216672622654
91684116768310
10500211328428
11183158288699
1280b3b918490
1338228b70496
141a2d3314260
15d029478ea3
hex7476eb25ac

500211328428 has 144 divisors (see below), whose sum is σ = 1456028421120. Its totient is φ = 141834799872.

The previous prime is 500211328417. The next prime is 500211328439. The reversal of 500211328428 is 824823112005.

It is a happy number.

500211328428 is a `hidden beast` number, since 500 + 21 + 1 + 32 + 84 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (500211328417) and next prime (500211328439).

It is a super-2 number, since 2×5002113284282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 500211328392 and 500211328401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29525176 + ... + 29542112.

It is an arithmetic number, because the mean of its divisors is an integer number (10111308480).

Almost surely, 2500211328428 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 500211328428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728014210560).

500211328428 is an abundant number, since it is smaller than the sum of its proper divisors (955817092692).

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

500211328428 is a wasteful number, since it uses less digits than its factorization.

500211328428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17836 (or 17831 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 500211328428 in words is "five hundred billion, two hundred eleven million, three hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 719 978 1141 1438 1467 1956 2157 2282 2876 2934 3423 4314 4564 5033 5868 6471 6846 8628 10066 10269 12942 13692 15099 16937 20132 20538 25884 30198 33874 41076 45297 50811 60396 67748 90594 101622 117197 118559 152433 181188 203244 234394 237118 304866 351591 355677 468788 474236 609732 703182 711354 820379 1054773 1067031 1406364 1422708 1640758 2109546 2134062 2461137 2760731 3281516 4219092 4268124 4922274 5521462 7383411 8282193 9844548 11042924 12177703 14766822 16564386 19325117 24355406 24846579 29533644 33128772 36533109 38650234 48710812 49693158 57975351 73066218 77300468 85243921 99386316 109599327 115950702 146132436 170487842 173926053 219198654 231901404 255731763 340975684 347852106 438397308 511463526 695704212 767195289 1022927052 1534390578 1984965589 3068781156 3969931178 5954896767 7939862356 11909793534 13894759123 17864690301 23819587068 27789518246 35729380602 41684277369 55579036492 71458761204 83368554738 125052832107 166737109476 250105664214 500211328428