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21020461134192 = 243213172832334001
BaseRepresentation
bin1001100011110001101010…
…00111100111000101110000
32202102112111002010020120200
410301320311013213011300
510223344401022243232
6112412355545435200
74266451423366242
oct461706507470560
982375432106520
1021020461134192
116774800342993
122435aa5a9bb00
13b962b4651a70
14529577d06092
15266bccaa577c
hex131e351e7170

21020461134192 has 240 divisors, whose sum is σ = 67317061619808. Its totient is φ = 6065860608000.

The previous prime is 21020461134143. The next prime is 21020461134227. The reversal of 21020461134192 is 29143116402012.

21020461134192 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 0 + 4 + 611 + 34 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7839192 + ... + 10173192.

Almost surely, 221020461134192 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 21020461134192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33658530809904).

21020461134192 is an abundant number, since it is smaller than the sum of its proper divisors (46296600485616).

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

21020461134192 is a wasteful number, since it uses less digits than its factorization.

21020461134192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334328 (or 2334319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21020461134192 in words is "twenty-one trillion, twenty billion, four hundred sixty-one million, one hundred thirty-four thousand, one hundred ninety-two".