Search a number
-
+
368450023053280 = 255717193317316297
BaseRepresentation
bin101001111000110100111010…
…0101111011101011111100000
31210022120110220121111021110111
41103301221310233131133200
5341243141121400201110
63343343334234341104
7140415431022455410
oct12361516457353740
91708513817437414
10368450023053280
11a74438605a5503
12353a80bb28a794
1312a788c39675ac
1466db10d3c2640
152c8e36d66ae8a
hex14f1a74bdd7e0

368450023053280 has 384 divisors, whose sum is σ = 1062134675949312. Its totient is φ = 117905270243328.

The previous prime is 368450023053227. The next prime is 368450023053391. The reversal of 368450023053280 is 82350320054863.

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, 1164728092 + ... + 1165044388.

It is an arithmetic number, because the mean of its divisors is an integer number (2765975718618).

Almost surely, 2368450023053280 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 368450023053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531067337974656).

368450023053280 is an abundant number, since it is smaller than the sum of its proper divisors (693684652896032).

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

368450023053280 is a wasteful number, since it uses less digits than its factorization.

368450023053280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316846 (or 316838 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 368450023053280 in words is "three hundred sixty-eight trillion, four hundred fifty billion, twenty-three million, fifty-three thousand, two hundred eighty".