Search a number
-
+
245233315520 = 2653975473529
BaseRepresentation
bin1110010001100100001…
…0110110111011000000
3212102222201202012021122
43210121002312323000
513004214212044040
6304354133011412
723501052534314
oct3443102667300
9772881665248
10245233315520
11950038a4696
123b640183b68
131a18268072b
14bc25725b44
1565a45ed1b5
hex39190b6ec0

245233315520 has 112 divisors (see below), whose sum is σ = 586669225440. Its totient is φ = 97639686144.

The previous prime is 245233315501. The next prime is 245233315531. The reversal of 245233315520 is 25513332542.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69489116 + ... + 69492644.

Almost surely, 2245233315520 is an apocalyptic number.

245233315520 is a gapful number since it is divisible by the number (20) 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 245233315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293334612720).

245233315520 is an abundant number, since it is smaller than the sum of its proper divisors (341435909920).

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

245233315520 is a wasteful number, since it uses less digits than its factorization.

245233315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 245233315520 in words is "two hundred forty-five billion, two hundred thirty-three million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 397 547 794 1094 1588 1985 2188 2735 3176 3529 3970 4376 5470 6352 7058 7940 8752 10940 12704 14116 15880 17504 17645 21880 25408 28232 31760 35008 35290 43760 56464 63520 70580 87520 112928 127040 141160 175040 217159 225856 282320 434318 564640 868636 1085795 1129280 1401013 1737272 1930363 2171590 2802026 3474544 3860726 4343180 5604052 6949088 7005065 7721452 8686360 9651815 11208104 13898176 14010130 15442904 17372720 19303630 22416208 28020260 30885808 34745440 38607260 44832416 56040520 61771616 69490880 77214520 89664832 112081040 123543232 154429040 224162080 308858080 448324160 617716160 766354111 1532708222 3065416444 3831770555 6130832888 7663541110 12261665776 15327082220 24523331552 30654164440 49046663104 61308328880 122616657760 245233315520