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245424302304 = 25329601146681
BaseRepresentation
bin1110010010010001101…
…1011010100011100000
3212110111001010022220020
43210210123122203200
513010112110133204
6304425114313440
723505562102146
oct3444433324340
9773431108806
10245424302304
11950a1690905
123b694128880
131a1b310036c
14bc42c3d596
1565b6276bd9
hex39246da8e0

245424302304 has 96 divisors (see below), whose sum is σ = 667567383840. Its totient is φ = 78855168000.

The previous prime is 245424302303. The next prime is 245424302311. The reversal of 245424302304 is 403203424542.

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

It is a super-2 number, since 2×2454243023042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245424302303) by changing a digit.

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, 1599844 + ... + 1746524.

It is an arithmetic number, because the mean of its divisors is an integer number (6953826915).

Almost surely, 2245424302304 is an apocalyptic number.

245424302304 is a gapful number since it is divisible by the number (24) 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 245424302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333783691920).

245424302304 is an abundant number, since it is smaller than the sum of its proper divisors (422143081536).

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

245424302304 is a wasteful number, since it uses less digits than its factorization.

245424302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147324 (or 147316 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 245424302304 its reverse (403203424542), we get a palindrome (648627726846).

The spelling of 245424302304 in words is "two hundred forty-five billion, four hundred twenty-four million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 601 696 928 1202 1392 1803 2404 2784 3606 4808 7212 9616 14424 17429 19232 28848 34858 52287 57696 69716 104574 139432 146681 209148 278864 293362 418296 440043 557728 586724 836592 880086 1173448 1673184 1760172 2346896 3520344 4253749 4693792 7040688 8507498 12761247 14081376 17014996 25522494 34029992 51044988 68059984 88155281 102089976 136119968 176310562 204179952 264465843 352621124 408359904 528931686 705242248 1057863372 1410484496 2115726744 2556503149 2820968992 4231453488 5113006298 7669509447 8462906976 10226012596 15339018894 20452025192 30678037788 40904050384 61356075576 81808100768 122712151152 245424302304