Search a number
-
+
212462011734 = 237671033112357
BaseRepresentation
bin1100010111011110111…
…0010000010101010110
3202022101211202110210120
43011313232100111112
511440110233333414
6241334222132410
721231002205510
oct3056756202526
9668354673716
10212462011734
11821172a3055
1235215121106
131705c0c7b0b
14a3d7206bb0
1557d75572a9
hex3177b90556

212462011734 has 128 divisors (see below), whose sum is σ = 499472842752. Its totient is φ = 59001402240.

The previous prime is 212462011661. The next prime is 212462011753. The reversal of 212462011734 is 437110264212.

It is a junction number, because it is equal to n+sod(n) for n = 212462011695 and 212462011704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90139684 + ... + 90142040.

It is an arithmetic number, because the mean of its divisors is an integer number (3902131584).

Almost surely, 2212462011734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212462011734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249736421376).

212462011734 is an abundant number, since it is smaller than the sum of its proper divisors (287010831018).

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

212462011734 is a wasteful number, since it uses less digits than its factorization.

212462011734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850.

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 212462011734 its reverse (437110264212), we get a palindrome (649572275946).

The spelling of 212462011734 in words is "two hundred twelve billion, four hundred sixty-two million, eleven thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 67 103 134 201 206 309 311 402 469 618 622 721 933 938 1407 1442 1866 2163 2177 2357 2814 4326 4354 4714 6531 6901 7071 13062 13802 14142 16499 20703 20837 32033 32998 41406 41674 48307 49497 62511 64066 96099 96614 98994 125022 144921 145859 157919 192198 224231 242771 289842 291718 315838 437577 448462 473757 485542 672693 728313 733027 875154 947514 1105433 1345386 1456626 1466054 1699397 2146211 2199081 2210866 3316299 3398794 4292422 4398162 5098191 5131189 6438633 6632598 10196382 10262378 12877266 15023477 15393567 16265657 30046954 30787134 32531314 45070431 48796971 49112809 75501781 90140862 97593942 98225618 113859599 147338427 151003562 226505343 227719198 294676854 341578797 343789663 453010686 528512467 683157594 687579326 1031368989 1057024934 1585537401 2062737978 3171074802 5058619327 10117238654 15175857981 30351715962 35410335289 70820670578 106231005867 212462011734