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213693134148 = 2233133123920543
BaseRepresentation
bin1100011100000100011…
…0100111010101000100
3202102120122022222021000
43013001012213111010
512000120420243043
6242100321253300
721303341445624
oct3070106472504
9672518288230
10213693134148
118269922659a
12354b9494230
13171c7198110
14a4b2918884
15585a68e2d3
hex31c11a7544

213693134148 has 192 divisors, whose sum is σ = 618489446400. Its totient is φ = 63361388160.

The previous prime is 213693134143. The next prime is 213693134177. The reversal of 213693134148 is 841431396312.

213693134148 is a `hidden beast` number, since 2 + 136 + 93 + 13 + 414 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (213693134143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10391965 + ... + 10412507.

It is an arithmetic number, because the mean of its divisors is an integer number (3221299200).

Almost surely, 2213693134148 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 213693134148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309244723200).

213693134148 is an abundant number, since it is smaller than the sum of its proper divisors (404796312252).

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

213693134148 is a wasteful number, since it uses less digits than its factorization.

213693134148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20839 (or 20831 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 213693134148 in words is "two hundred thirteen billion, six hundred ninety-three million, one hundred thirty-four thousand, one hundred forty-eight".