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1053385179462 = 235711172957097
BaseRepresentation
bin11110101010000101010…
…01100100000101000110
310201200222020001112100000
433111002221210011012
5114224313101220322
62123530220102130
7136050603201450
oct17250251440506
93650866045300
101053385179462
11376813521420
121501a0694946
1378445472625
1438dac5a72d0
151c6033d73ac
hexf542a64146

1053385179462 has 384 divisors, whose sum is σ = 3232276669440. Its totient is φ = 248627957760.

The previous prime is 1053385179461. The next prime is 1053385179463. The reversal of 1053385179462 is 2649715833501.

It is a happy number.

1053385179462 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 8 + 5 + 179 + 462 = 666.

It is an interprime number because it is at equal distance from previous prime (1053385179461) and next prime (1053385179463).

It is a super-2 number, since 2×10533851794622 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053385179399 and 1053385179408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053385179461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18420498 + ... + 18477594.

It is an arithmetic number, because the mean of its divisors is an integer number (8417387160).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1053385179462 = 2106770358924, but 3⋅1053385179462 = 3160155538386 is not.

Almost surely, 21053385179462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053385179462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616138334720).

1053385179462 is an abundant number, since it is smaller than the sum of its proper divisors (2178891489978).

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

1053385179462 is a wasteful number, since it uses less digits than its factorization.

1053385179462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57178 (or 57166 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1053385179462 in words is "one trillion, fifty-three billion, three hundred eighty-five million, one hundred seventy-nine thousand, four hundred sixty-two".