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212961029892 = 2231311324474937
BaseRepresentation
bin1100011001010101110…
…1110110111100000100
3202100200121202020000120
43012111131312330010
511442121010424032
6241455525541540
721246241613112
oct3062535667404
9670617666016
10212961029892
1182352a49856
12353342748b0
131710b5c8030
14a4435c4ab2
15581627962c
hex3195776f04

212961029892 has 96 divisors (see below), whose sum is σ = 540198554112. Its totient is φ = 64906899456.

The previous prime is 212961029891. The next prime is 212961029923. The reversal of 212961029892 is 298920169212.

It is a super-2 number, since 2×2129610298922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212961029891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43133248 + ... + 43138184.

It is an arithmetic number, because the mean of its divisors is an integer number (5627068272).

Almost surely, 2212961029892 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 212961029892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270099277056).

212961029892 is an abundant number, since it is smaller than the sum of its proper divisors (327237524220).

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

212961029892 is a wasteful number, since it uses less digits than its factorization.

212961029892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 212961029892 in words is "two hundred twelve billion, nine hundred sixty-one million, twenty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2447 2938 4407 4894 4937 5876 7341 8814 9788 9874 14682 14811 17628 19748 29364 29622 31811 59244 63622 64181 95433 127244 128362 190866 192543 256724 276511 381732 385086 553022 557881 770172 829533 1106044 1115762 1659066 1673643 2231524 3318132 3347286 3594643 6694572 7189286 7252453 10783929 12080839 14378572 14504906 21567858 21757359 24161678 29009812 36242517 43135716 43514718 48323356 72485034 87029436 144970068 157050907 314101814 471152721 628203628 942305442 1365134807 1884610884 2730269614 4095404421 5460539228 8190808842 16381617684 17746752491 35493504982 53240257473 70987009964 106480514946 212961029892