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211531591392 = 253111013795233
BaseRepresentation
bin1100010100000001000…
…0111110111011100000
3202020000000000020000220
43011000100332323200
511431204041411032
6241102024043040
721165643600662
oct3050020767340
9666000006026
10211531591392
118178a083520
1234bb5603480
1316c41410034
14a34980c532
155780a1c12c
hex314043eee0

211531591392 has 192 divisors, whose sum is σ = 613478396160. Its totient is φ = 63286272000.

The previous prime is 211531591391. The next prime is 211531591417. The reversal of 211531591392 is 293195135112.

It is a super-2 number, since 2×2115315913922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211531591391) 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, 40420008 + ... + 40425240.

It is an arithmetic number, because the mean of its divisors is an integer number (3195199980).

Almost surely, 2211531591392 is an apocalyptic number.

211531591392 is a gapful number since it is divisible by the number (22) 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 211531591392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306739198080).

211531591392 is an abundant number, since it is smaller than the sum of its proper divisors (401946804768).

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

211531591392 is a wasteful number, since it uses less digits than its factorization.

211531591392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5729 counting only the distinct ones).

The product of its digits is 72900, while the sum is 42.

The spelling of 211531591392 in words is "two hundred eleven billion, five hundred thirty-one million, five hundred ninety-one thousand, three hundred ninety-two".