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53411210130432 = 21037113143233727
BaseRepresentation
bin11000010010011110001000…
…01101001111010000000000
321000010001200001211112120210
430021033010031033100000
524000042124243133212
6305332434325034120
714151555402211230
oct1411170415172000
9230101601745523
1053411210130432
1116022626767070
125ba754a255940
1323a586a1abb8b
14d2918b431cc0
15629534ee753c
hex3093c434f400

53411210130432 has 1408 divisors, whose sum is σ = 188538027245568. Its totient is φ = 13039062220800.

The previous prime is 53411210130403. The next prime is 53411210130437. The reversal of 53411210130432 is 23403101211435.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 53411210130432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53411210130437) 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 127 ways as a sum of consecutive naturals, for example, 73467964053 + ... + 73467964779.

It is an arithmetic number, because the mean of its divisors is an integer number (133904848896).

Almost surely, 253411210130432 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 53411210130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94269013622784).

53411210130432 is an abundant number, since it is smaller than the sum of its proper divisors (135126817115136).

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

53411210130432 is a wasteful number, since it uses less digits than its factorization.

53411210130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 53411210130432 its reverse (23403101211435), we get a palindrome (76814311341867).

The spelling of 53411210130432 in words is "fifty-three trillion, four hundred eleven billion, two hundred ten million, one hundred thirty thousand, four hundred thirty-two".