Search a number
-
+
13542592852320 = 2535717213946483
BaseRepresentation
bin1100010100010010000101…
…1011111011000101100000
31202221122210120200022201220
43011010201123323011200
53233340212232233240
644445214204255040
72565264034633050
oct305044133730540
952848716608656
1013542592852320
114351421679594
12162878ab41480
137730a40c818c
1434b671d17560
1518741971e5d0
hexc51216fb160

13542592852320 has 288 divisors, whose sum is σ = 51789877832448. Its totient is φ = 2913364303872.

The previous prime is 13542592852319. The next prime is 13542592852333. The reversal of 13542592852320 is 2325829524531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6002202 + ... + 7944281.

It is an arithmetic number, because the mean of its divisors is an integer number (179825964696).

Almost surely, 213542592852320 is an apocalyptic number.

13542592852320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13542592852320 is an abundant number, since it is smaller than the sum of its proper divisors (38247284980128).

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

13542592852320 is a wasteful number, since it uses less digits than its factorization.

13542592852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946542 (or 13946517 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 13542592852320 in words is "thirteen trillion, five hundred forty-two billion, five hundred ninety-two million, eight hundred fifty-two thousand, three hundred twenty".