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212988037248 = 27337611011429
BaseRepresentation
bin1100011001011100010…
…0111000100010000000
3202100202111120100011000
43012113010320202000
511442144414142443
6241502332452000
721250020305550
oct3062704704200
9670674510130
10212988037248
1182367215888
123534131a000
1317114092b0c
14a447015160
1558188118d3
hex3197138880

212988037248 has 512 divisors, whose sum is σ = 737934912000. Its totient is φ = 59222016000.

The previous prime is 212988037111. The next prime is 212988037259. The reversal of 212988037248 is 842730889212.

212988037248 is a `hidden beast` number, since 2 + 1 + 298 + 80 + 37 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 212988037194 and 212988037203.

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, 149046198 + ... + 149047626.

It is an arithmetic number, because the mean of its divisors is an integer number (1441279125).

Almost surely, 2212988037248 is an apocalyptic number.

212988037248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212988037248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368967456000).

212988037248 is an abundant number, since it is smaller than the sum of its proper divisors (524946874752).

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

212988037248 is a wasteful number, since it uses less digits than its factorization.

212988037248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 212988037248 in words is "two hundred twelve billion, nine hundred eighty-eight million, thirty-seven thousand, two hundred forty-eight".