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53031135416 = 23710731727919
BaseRepresentation
bin110001011000111001…
…101110100010111000
312001212211102210201112
4301120321232202320
51332101432313131
640210121135452
73555106133150
oct613071564270
9161784383645
1053031135416
1120543769a46
12a34002a588
135001a35c8c
1427d111d760
1515a5a3902b
hexc58e6e8b8

53031135416 has 64 divisors (see below), whose sum is σ = 115066137600. Its totient is φ = 22443391872.

The previous prime is 53031135371. The next prime is 53031135419. The reversal of 53031135416 is 61453113035.

53031135416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53031135419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1885505 + ... + 1913423.

It is an arithmetic number, because the mean of its divisors is an integer number (1797908400).

Almost surely, 253031135416 is an apocalyptic number.

53031135416 is a gapful number since it is divisible by the number (56) 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 53031135416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57533068800).

53031135416 is an abundant number, since it is smaller than the sum of its proper divisors (62035002184).

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

53031135416 is a wasteful number, since it uses less digits than its factorization.

53031135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28356 (or 28352 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 53031135416 in words is "fifty-three billion, thirty-one million, one hundred thirty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 107 214 317 428 634 749 856 1268 1498 2219 2536 2996 4438 5992 8876 17752 27919 33919 55838 67838 111676 135676 195433 223352 237433 271352 390866 474866 781732 949732 1563464 1899464 2987333 5974666 8850323 11949332 17700646 20911331 23898664 35401292 41822662 61952261 70802584 83645324 123904522 167290648 247809044 495618088 946984561 1893969122 3787938244 6628891927 7575876488 13257783854 26515567708 53031135416