Search a number
-
+
53541031616340 = 2235173114911364193
BaseRepresentation
bin11000010110001111111100…
…01010111001111101010100
321000120110202112212022220120
430023013332022321331110
524004204013043210330
6305512224350031540
714164132450506312
oct1413077612717524
9230513675768816
1053541031616340
1116072695598994
12600873b1a85b0
1323b4b890acc68
14d31584d0d0b2
1562cad2347c10
hex30b1fe2b9f54

53541031616340 has 192 divisors, whose sum is σ = 164953548748800. Its totient is φ = 12916995194880.

The previous prime is 53541031616333. The next prime is 53541031616353. The reversal of 53541031616340 is 4361613014535.

It is a junction number, because it is equal to n+sod(n) for n = 53541031616292 and 53541031616301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970717 + ... + 10393476.

It is an arithmetic number, because the mean of its divisors is an integer number (859133066400).

Almost surely, 253541031616340 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 53541031616340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82476774374400).

53541031616340 is an abundant number, since it is smaller than the sum of its proper divisors (111412517132460).

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

53541031616340 is a wasteful number, since it uses less digits than its factorization.

53541031616340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364402 (or 11364400 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 53541031616340 in words is "fifty-three trillion, five hundred forty-one billion, thirty-one million, six hundred sixteen thousand, three hundred forty".