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245344345454544 = 24372479217772593
BaseRepresentation
bin110111110010001110101110…
…100011101111011111010000
31012011200200122021101201112120
4313302032232203233133100
5224124210204414021134
62225445345240254240
7102451354411246500
oct6762165643573720
91164620567351476
10245344345454544
11711a0a52993566
1223625464a71380
13a6b8b45b7471b
144482a30351a00
151d56e81dd5649
hexdf23ae8ef7d0

245344345454544 has 120 divisors (see below), whose sum is σ = 738824013308160. Its totient is φ = 69952040911872.

The previous prime is 245344345454519. The next prime is 245344345454557. The reversal of 245344345454544 is 445454543443542.

It is a super-2 number, since 2×2453443454545442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107759689 + ... + 110012904.

It is an arithmetic number, because the mean of its divisors is an integer number (6156866777568).

Almost surely, 2245344345454544 is an apocalyptic number.

245344345454544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245344345454544 is an abundant number, since it is smaller than the sum of its proper divisors (493479667853616).

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

245344345454544 is a wasteful number, since it uses less digits than its factorization.

245344345454544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217773097 (or 217773084 counting only the distinct ones).

The product of its digits is 737280000, while the sum is 60.

The spelling of 245344345454544 in words is "two hundred forty-five trillion, three hundred forty-four billion, three hundred forty-five million, four hundred fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 479 588 784 958 1176 1437 1916 2352 2874 3353 3832 5748 6706 7664 10059 11496 13412 20118 22992 23471 26824 40236 46942 53648 70413 80472 93884 140826 160944 187768 281652 375536 563304 1126608 217772593 435545186 653317779 871090372 1306635558 1524408151 1742180744 2613271116 3048816302 3484361488 4573224453 5226542232 6097632604 9146448906 10453084464 10670857057 12195265208 18292897812 21341714114 24390530416 32012571171 36585795624 42683428228 64025142342 73171591248 85366856456 104313072047 128050284684 170733712912 208626144094 256100569368 312939216141 417252288188 512201138736 625878432282 730191504329 834504576376 1251756864564 1460383008658 1669009152752 2190574512987 2503513729128 2920766017316 4381149025974 5007027458256 5111340530303 5841532034632 8762298051948 10222681060606 11683064069264 15334021590909 17524596103896 20445362121212 30668043181818 35049192207792 40890724242424 61336086363636 81781448484848 122672172727272 245344345454544