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245252313120 = 25351926891701
BaseRepresentation
bin1110010001101000101…
…1010101000000100000
3212110001001111101002110
43210122023111000200
513004234043004440
6304400052115320
723501403160023
oct3443213250040
9773031441073
10245252313120
119501359a891
123b646605b40
131a1865a2809
14bc2806d1ba
1565a6102080
hex391a2d5020

245252313120 has 96 divisors (see below), whose sum is σ = 813205068480. Its totient is φ = 61958476800.

The previous prime is 245252313113. The next prime is 245252313121. The reversal of 245252313120 is 21313252542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245252313121) 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, 13436731 + ... + 13454970.

It is an arithmetic number, because the mean of its divisors is an integer number (8470886130).

Almost surely, 2245252313120 is an apocalyptic number.

245252313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245252313120 is an abundant number, since it is smaller than the sum of its proper divisors (567952755360).

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

245252313120 is a wasteful number, since it uses less digits than its factorization.

245252313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891738 (or 26891730 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 245252313120 its reverse (21313252542), we get a palindrome (266565565662).

The spelling of 245252313120 in words is "two hundred forty-five billion, two hundred fifty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 26891701 53783402 80675103 107566804 134458505 161350206 215133608 268917010 322700412 403375515 430267216 510942319 537834020 645400824 806751030 860534432 1021884638 1075668040 1290801648 1532826957 1613502060 2043769276 2151336080 2554711595 2581603296 3065653914 3227004120 4087538552 4302672160 5109423190 6131307828 6454008240 7664134785 8175077104 10218846380 12262615656 12908016480 15328269570 16350154208 20437692760 24525231312 30656539140 40875385520 49050462624 61313078280 81750771040 122626156560 245252313120