Search a number
-
+
20253641257320 = 2335712377187941
BaseRepresentation
bin1001001101011101010110…
…00101111011000101101000
32122201020012002020101210020
410212232223011323011220
510123313424130213240
6111024221102320440
74160164053106122
oct446565305730550
978636162211706
1020253641257320
1164a9580529859
12233135b589120
13b3bbaa869953
145003d24bc212
15251c9c6b10d0
hex126bab17b168

20253641257320 has 64 divisors (see below), whose sum is σ = 61616711456640. Its totient is φ = 5324900985600.

The previous prime is 20253641257319. The next prime is 20253641257321. The reversal of 20253641257320 is 2375214635202.

It is an interprime number because it is at equal distance from previous prime (20253641257319) and next prime (20253641257321).

It is not an unprimeable number, because it can be changed into a prime (20253641257321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188585451 + ... + 1188602490.

It is an arithmetic number, because the mean of its divisors is an integer number (962761116510).

Almost surely, 220253641257320 is an apocalyptic number.

20253641257320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20253641257320 is an abundant number, since it is smaller than the sum of its proper divisors (41363070199320).

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

20253641257320 is a wasteful number, since it uses less digits than its factorization.

20253641257320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377188026 (or 2377188022 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 20253641257320 in words is "twenty trillion, two hundred fifty-three billion, six hundred forty-one million, two hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 2377187941 4754375882 7131563823 9508751764 11885939705 14263127646 19017503528 23771879410 28526255292 35657819115 47543758820 57052510584 71315638230 95087517640 142631276460 168780343811 285262552920 337560687622 506341031433 675121375244 843901719055 1012682062866 1350242750488 1687803438110 2025364125732 2531705157165 3375606876220 4050728251464 5063410314330 6751213752440 10126820628660 20253641257320