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245045200000 = 2755612613
BaseRepresentation
bin1110010000110111010…
…1010000010010000000
3212102111121202221022011
43210031311100102000
513003323032400000
6304323333022304
723463306555466
oct3441565202200
9772447687264
10245045200000
1194a17699717
123b5a9184994
131a1526c7983
14bc08758836
156592d402ba
hex390dd50480

245045200000 has 96 divisors (see below), whose sum is σ = 610181922420. Its totient is φ = 98017920000.

The previous prime is 245045199979. The next prime is 245045200003. The reversal of 245045200000 is 2540542.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 245040840256 = 2088^2 + 495016^2 .

It is not an unprimeable number, because it can be changed into a prime (245045200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93694 + ... + 706306.

Almost surely, 2245045200000 is an apocalyptic number.

245045200000 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 245045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305090961210).

245045200000 is an abundant number, since it is smaller than the sum of its proper divisors (365136722420).

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

245045200000 is an frugal number, since it uses more digits than its factorization.

245045200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612652 (or 612620 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 245045200000 its reverse (2540542), we get a palindrome (245047740542).

The spelling of 245045200000 in words is "two hundred forty-five billion, forty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 612613 1225226 2450452 3063065 4900904 6126130 9801808 12252260 15315325 19603616 24504520 30630650 39207232 49009040 61261300 76576625 78414464 98018080 122522600 153153250 196036160 245045200 306306500 382883125 392072320 490090400 612613000 765766250 980180800 1225226000 1531532500 1914415625 1960361600 2450452000 3063065000 3828831250 4900904000 6126130000 7657662500 9801808000 12252260000 15315325000 24504520000 30630650000 49009040000 61261300000 122522600000 245045200000