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212748062096 = 24172897192
BaseRepresentation
bin1100011000100011000…
…1011100110110010000
3202100010210000100010102
43012020301130312100
511441202000441341
6241422441151532
721241044455543
oct3061061346620
9670123010112
10212748062096
1182253809a09
1235294a8b5a8
13170a645039b
14a4231c885a
15580270cc9b
hex3188c5cd90

212748062096 has 90 divisors (see below), whose sum is σ = 443409306930. Its totient is φ = 98854148096.

The previous prime is 212748062083. The next prime is 212748062123. The reversal of 212748062096 is 690260847212.

It can be written as a sum of positive squares in 3 ways, for example, as 52936806400 + 159811255696 = 230080^2 + 399764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212748062096.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295894025 + ... + 295894743.

It is an arithmetic number, because the mean of its divisors is an integer number (4926770077).

Almost surely, 2212748062096 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 212748062096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221704653465).

212748062096 is an abundant number, since it is smaller than the sum of its proper divisors (230661244834).

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

212748062096 is an frugal number, since it uses more digits than its factorization.

212748062096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 212748062096 in words is "two hundred twelve billion, seven hundred forty-eight million, sixty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 289 356 578 712 719 1156 1424 1438 1513 2312 2876 3026 4624 5752 6052 11504 12104 12223 24208 24446 25721 48892 51442 63991 97784 102884 127982 195568 205768 207791 255964 411536 415582 511928 516961 831164 1023856 1033922 1087847 1662328 2067844 2175694 3324656 4135688 4351388 8271376 8702776 8788337 17405552 17576674 18493399 35153348 36986798 46009529 70306696 73973596 92019058 140613392 147947192 149401729 184038116 295894384 298803458 368076232 597606916 736152464 782161993 1195213832 1564323986 2390427664 3128647972 6257295944 12514591888 13296753881 26593507762 53187015524 106374031048 212748062096