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53730963393408 = 27327299710332293
BaseRepresentation
bin11000011011110001101101…
…11111001000101110000000
321001020122000020000022000100
430031320312333020232000
524020312003112042113
6310135355215122400
714213635235125560
oct1415706677105600
9231218006008010
1053730963393408
11161361a0088194
126039506b13400
1323c9a67545c72
14d3a841b8cda0
156329eb934d73
hex30de36fc8b80

53730963393408 has 768 divisors, whose sum is σ = 184941681724800. Its totient is φ = 14648934924288.

The previous prime is 53730963393407. The next prime is 53730963393461. The reversal of 53730963393408 is 80439336903735.

It is a happy number.

53730963393408 is a `hidden beast` number, since 53 + 7 + 3 + 0 + 96 + 3 + 3 + 93 + 408 = 666.

53730963393408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53730963393407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23432603910 + ... + 23432606202.

Almost surely, 253730963393408 is an apocalyptic number.

53730963393408 is a gapful number since it is divisible by the number (58) 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 53730963393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92470840862400).

53730963393408 is an abundant number, since it is smaller than the sum of its proper divisors (131210718331392).

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

53730963393408 is a wasteful number, since it uses less digits than its factorization.

53730963393408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 53730963393408 in words is "fifty-three trillion, seven hundred thirty billion, nine hundred sixty-three million, three hundred ninety-three thousand, four hundred eight".