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245421513220 = 2251367127110933
BaseRepresentation
bin1110010010010001000…
…0110001101000000100
3212110110211212121222211
43210210100301220010
513010110401410340
6304424534433204
723505526304542
oct3444420615004
9773424777884
10245421513220
11950a0056384
123b693202804
131a1b2664a10
14bc42714d92
1565b5dc55ea
hex3924431a04

245421513220 has 96 divisors (see below), whose sum is σ = 567754887168. Its totient is φ = 88561009152.

The previous prime is 245421513199. The next prime is 245421513241. The reversal of 245421513220 is 22315124542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245421513199) and next prime (245421513241).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2156874 + ... + 2267806.

It is an arithmetic number, because the mean of its divisors is an integer number (5914113408).

Almost surely, 2245421513220 is an apocalyptic number.

245421513220 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 245421513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283877443584).

245421513220 is an abundant number, since it is smaller than the sum of its proper divisors (322333373948).

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

245421513220 is a wasteful number, since it uses less digits than its factorization.

245421513220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111149 (or 111147 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 245421513220 its reverse (22315124542), we get a palindrome (267736637762).

It can be divided in two parts, 245421 and 513220, that added together give a square (758641 = 8712).

The spelling of 245421513220 in words is "two hundred forty-five billion, four hundred twenty-one million, five hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 127 130 134 254 260 268 335 508 635 670 871 1270 1340 1651 1742 2540 3302 3484 4355 6604 8255 8509 8710 16510 17018 17420 33020 34036 42545 85090 110617 110933 170180 221234 221866 442468 443732 553085 554665 1106170 1109330 1442129 2212340 2218660 2884258 5768516 7210645 7432511 14088491 14421290 14865022 28176982 28842580 29730044 37162555 56353964 70442455 74325110 96622643 140884910 148650220 183150383 193245286 281769820 366300766 386490572 483113215 732601532 915751915 943928897 966226430 1831503830 1887857794 1932452860 3663007660 3775715588 4719644485 9439288970 12271075661 18878577940 24542151322 49084302644 61355378305 122710756610 245421513220