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245250331550320 = 245179152311245187
BaseRepresentation
bin110111110000110111001010…
…111001001010001001110000
31012011100200222021122112221211
4313300313022321022021300
5224121140134334102240
62225334240312125504
7102441515562246325
oct6760671271121160
91164320867575854
10245250331550320
1171165099551858
122360b1a7996894
13a6b00125a30b5
14447c272320b4c
151d547cd488bea
hexdf0dcae4a270

245250331550320 has 80 divisors (see below), whose sum is σ = 573769074821760. Its totient is φ = 97488025932032.

The previous prime is 245250331550309. The next prime is 245250331550327. The reversal of 245250331550320 is 23055133052542.

245250331550320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2452503315503202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245250331550327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16186767 + ... + 27431953.

It is an arithmetic number, because the mean of its divisors is an integer number (7172113435272).

Almost surely, 2245250331550320 is an apocalyptic number.

245250331550320 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 245250331550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286884537410880).

245250331550320 is an abundant number, since it is smaller than the sum of its proper divisors (328518743271440).

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

245250331550320 is a wasteful number, since it uses less digits than its factorization.

245250331550320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246902 (or 11246896 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 245250331550320 in words is "two hundred forty-five trillion, two hundred fifty billion, three hundred thirty-one million, five hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1523 1790 2864 3046 3580 6092 7160 7615 12184 14320 15230 24368 30460 60920 121840 272617 545234 1090468 1363085 2180936 2726170 4361872 5452340 10904680 11245187 21809360 22490374 44980748 56225935 89961496 112451870 179922992 224903740 449807480 899614960 2012888473 4025776946 8051553892 10064442365 16103107784 17126419801 20128884730 32206215568 34252839602 40257769460 68505679204 80515538920 85632099005 137011358408 161031077840 171264198010 274022716816 342528396020 685056792040 1370113584080 3065629144379 6131258288758 12262516577516 15328145721895 24525033155032 30656291443790 49050066310064 61312582887580 122625165775160 245250331550320