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211734885492 = 2234132911931453
BaseRepresentation
bin1100010100110001100…
…0011111010001110100
3202020112011112122010000
43011030120133101310
511432113112313432
6241134125231300
721203662555104
oct3051430372164
9666464478100
10211734885492
1181883906379
1235051702530
1316c7457b7c0
14a36880b204
1557937c757c
hex314c61f474

211734885492 has 240 divisors, whose sum is σ = 617591676240. Its totient is φ = 62806689792.

The previous prime is 211734885491. The next prime is 211734885533. The reversal of 211734885492 is 294588437112.

211734885492 is a `hidden beast` number, since 2 + 1 + 1 + 73 + 4 + 8 + 85 + 492 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3984891876 + 207749993616 = 63126^2 + 455796^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211734885491) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145721838 + ... + 145723290.

It is an arithmetic number, because the mean of its divisors is an integer number (2573298651).

Almost surely, 2211734885492 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 211734885492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308795838120).

211734885492 is an abundant number, since it is smaller than the sum of its proper divisors (405856790748).

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

211734885492 is a wasteful number, since it uses less digits than its factorization.

211734885492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 211734885492 in words is "two hundred eleven billion, seven hundred thirty-four million, eight hundred eighty-five thousand, four hundred ninety-two".