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212466143072 = 2517673580331
BaseRepresentation
bin1100010111011111111…
…0000000111101100000
3202022102010112100221002
43011313332000331200
511440112313034242
6241334450451132
721231052263311
oct3056776007540
9668363470832
10212466143072
1182119664a87
1235216593aa8
131705cc133b1
14a3d79a0608
1557d7ac1432
hex3177f80f60

212466143072 has 48 divisors (see below), whose sum is σ = 443557032912. Its totient is φ = 99835330560.

The previous prime is 212466143063. The next prime is 212466143093. The reversal of 212466143072 is 270341664212.

It is a happy number.

It is a super-4 number, since 4×2124661430724 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75947 + ... + 656277.

It is an arithmetic number, because the mean of its divisors is an integer number (9240771519).

Almost surely, 2212466143072 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 212466143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221778516456).

212466143072 is an abundant number, since it is smaller than the sum of its proper divisors (231090889840).

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

212466143072 is a wasteful number, since it uses less digits than its factorization.

212466143072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581031 (or 581023 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 212466143072 in words is "two hundred twelve billion, four hundred sixty-six million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 673 1346 2692 5384 10768 11441 21536 22882 45764 91528 183056 366112 580331 1160662 2321324 4642648 9285296 9865627 18570592 19731254 39462508 78925016 157850032 315700064 390562763 781125526 1562251052 3124502104 6249004208 6639566971 12498008416 13279133942 26558267884 53116535768 106233071536 212466143072