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245325213600 = 25352102218839
BaseRepresentation
bin1110010001111010000…
…1011010111110100000
3212110020010200002202020
43210132201122332200
513004411223313400
6304411214421440
723503246623615
oct3443641327640
9773203602666
10245325213600
1195050762015
123b666b01880
131a1987185ac
14bc33a0850c
1565ac7022a0
hex391e85afa0

245325213600 has 72 divisors (see below), whose sum is σ = 798533578080. Its totient is φ = 65420056320.

The previous prime is 245325213599. The next prime is 245325213613. The reversal of 245325213600 is 6312523542.

It is a happy number.

245325213600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51107020 + ... + 51111819.

It is an arithmetic number, because the mean of its divisors is an integer number (11090744140).

Almost surely, 2245325213600 is an apocalyptic number.

245325213600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245325213600 is an abundant number, since it is smaller than the sum of its proper divisors (553208364480).

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

245325213600 is a wasteful number, since it uses less digits than its factorization.

245325213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102218862 (or 102218849 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 245325213600 in words is "two hundred forty-five billion, three hundred twenty-five million, two hundred thirteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 102218839 204437678 306656517 408875356 511094195 613313034 817750712 1022188390 1226626068 1533282585 1635501424 2044376780 2453252136 2555470975 3066565170 3271002848 4088753560 4906504272 5110941950 6133130340 7666412925 8177507120 9813008544 10221883900 12266260680 15332825850 16355014240 20443767800 24532521360 30665651700 40887535600 49065042720 61331303400 81775071200 122662606800 245325213600