Search a number
-
+
53000509740 = 22354773257459
BaseRepresentation
bin110001010111000100…
…111001100100101100
312001210200210212012020
4301113010321210230
51332021112302430
640203104510140
73554254620363
oct612704714454
9161720725166
1053000509740
1120528451472
12a33191b350
134cc85a2289
1427cb02a7da
1515a2ed9b10
hexc5713992c

53000509740 has 96 divisors (see below), whose sum is σ = 153635650560. Its totient is φ = 13643214336.

The previous prime is 53000509739. The next prime is 53000509741. The reversal of 53000509740 is 4790500035.

It is an interprime number because it is at equal distance from previous prime (53000509739) and next prime (53000509741).

It is not an unprimeable number, because it can be changed into a prime (53000509741) 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 31 ways as a sum of consecutive naturals, for example, 77131 + ... + 334589.

It is an arithmetic number, because the mean of its divisors is an integer number (1600371360).

Almost surely, 253000509740 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 53000509740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76817825280).

53000509740 is an abundant number, since it is smaller than the sum of its proper divisors (100635140820).

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

53000509740 is a wasteful number, since it uses less digits than its factorization.

53000509740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257591 (or 257589 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 53000509740 in words is "fifty-three billion, five hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 73 94 141 146 188 219 235 282 292 365 438 470 564 705 730 876 940 1095 1410 1460 2190 2820 3431 4380 6862 10293 13724 17155 20586 34310 41172 51465 68620 102930 205860 257459 514918 772377 1029836 1287295 1544754 2574590 3089508 3861885 5149180 7723770 12100573 15447540 18794507 24201146 36301719 37589014 48402292 56383521 60502865 72603438 75178028 93972535 112767042 121005730 145206876 181508595 187945070 225534084 242011460 281917605 363017190 375890140 563835210 726034380 883341829 1127670420 1766683658 2650025487 3533367316 4416709145 5300050974 8833418290 10600101948 13250127435 17666836580 26500254870 53000509740