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53271001382400 = 2933521916411259
BaseRepresentation
bin11000001110011000111110…
…00111010011111000000000
320222121122202200100011101000
430013030133013103320000
523440243002323214100
6305144205445012000
714135463034421124
oct1407143707237000
9228548680304330
1053271001382400
1115a7911756549a
125b8433a6b4000
1323955842bbb49
14d2248a1c5584
15625a7acde900
hex30731f1d3e00

53271001382400 has 960 divisors, whose sum is σ = 197017190092800. Its totient is φ = 14097973248000.

The previous prime is 53271001382399. The next prime is 53271001382429. The reversal of 53271001382400 is 428310017235.

53271001382400 is a `hidden beast` number, since 5 + 3 + 271 + 0 + 0 + 1 + 382 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×532710013824002 (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 42312152971 + ... + 42312154229.

It is an arithmetic number, because the mean of its divisors is an integer number (205226239680).

Almost surely, 253271001382400 is an apocalyptic number.

53271001382400 is a gapful number since it is divisible by the number (50) 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 53271001382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98508595046400).

53271001382400 is an abundant number, since it is smaller than the sum of its proper divisors (143746188710400).

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

53271001382400 is a wasteful number, since it uses less digits than its factorization.

53271001382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 53271001382400 its reverse (428310017235), we get a palindrome (53699311399635).

The spelling of 53271001382400 in words is "fifty-three trillion, two hundred seventy-one billion, one million, three hundred eighty-two thousand, four hundred".