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212207106048 = 2113717290243
BaseRepresentation
bin1100010110100010000…
…1110111100000000000
3202021202002002220221020
43011220201313200000
511434100004343143
6241253034425440
721221455432320
oct3055041674000
9667662086836
10212207106048
1181aa64196a3
1235163892280
131701b358552
14a3b1411280
1557beea4883
hex3168877800

212207106048 has 192 divisors, whose sum is σ = 684604327680. Its totient is φ = 57063899136.

The previous prime is 212207106029. The next prime is 212207106053. The reversal of 212207106048 is 840601702212.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586015 + ... + 876257.

It is an arithmetic number, because the mean of its divisors is an integer number (3565647540).

Almost surely, 2212207106048 is an apocalyptic number.

212207106048 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 212207106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342302163840).

212207106048 is an abundant number, since it is smaller than the sum of its proper divisors (472397221632).

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

212207106048 is a wasteful number, since it uses less digits than its factorization.

212207106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290292 (or 290272 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 212207106048 in words is "two hundred twelve billion, two hundred seven million, one hundred six thousand, forty-eight".