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8212718952 = 2334432411223
BaseRepresentation
bin1111010011000010…
…00010010101101000
3210012100200100110000
413221201002111220
5113304424001302
63434535023000
7410342650014
oct75141022550
923170610400
108212718952
113534958339
12171250aa60
13a0b631719
1457ca3b544
1533101831c
hex1e9842568

8212718952 has 160 divisors (see below), whose sum is σ = 23655170880. Its totient is φ = 2660636160.

The previous prime is 8212718939. The next prime is 8212718953. The reversal of 8212718952 is 2598172128.

It is a junction number, because it is equal to n+sod(n) for n = 8212718898 and 8212718907.

It is not an unprimeable number, because it can be changed into a prime (8212718953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6714613 + ... + 6715835.

It is an arithmetic number, because the mean of its divisors is an integer number (147844818).

Almost surely, 28212718952 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 8212718952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827585440).

8212718952 is an abundant number, since it is smaller than the sum of its proper divisors (15442451928).

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

8212718952 is a wasteful number, since it uses less digits than its factorization.

8212718952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 8212718952 is about 90624.0528336710. The cubic root of 8212718952 is about 2017.5717441078.

The spelling of 8212718952 in words is "eight billion, two hundred twelve million, seven hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 241 258 324 344 387 482 516 648 723 774 964 1032 1161 1223 1446 1548 1928 2169 2322 2446 2892 3096 3483 3669 4338 4644 4892 5784 6507 6966 7338 8676 9288 9784 10363 11007 13014 13932 14676 17352 19521 20726 22014 26028 27864 29352 31089 33021 39042 41452 44028 52056 52589 62178 66042 78084 82904 88056 93267 99063 105178 124356 132084 156168 157767 186534 198126 210356 248712 264168 279801 294743 315534 373068 396252 420712 473301 559602 589486 631068 746136 792504 839403 884229 946602 1119204 1178972 1262136 1419903 1678806 1768458 1893204 2238408 2357944 2652687 2839806 3357612 3536916 3786408 4259709 5305374 5679612 6715224 7073832 7958061 8519418 10610748 11359224 12673949 15916122 17038836 21221496 23874183 25347898 31832244 34077672 38021847 47748366 50695796 63664488 76043694 95496732 101391592 114065541 152087388 190993464 228131082 304174776 342196623 456262164 684393246 912524328 1026589869 1368786492 2053179738 2737572984 4106359476 8212718952