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12344850898576 = 247229243272
BaseRepresentation
bin1011001110100100001001…
…1100111101111010010000
31121201011012212212211220021
42303221002130331322100
53104224223312223301
642131051325353224
72412612625205200
oct263510234757220
947634185784807
1012344850898576
113a2a470559029
121474621708814
136b7164586721
143096cb65a400
151661b7db98a1
hexb3a4273de90

12344850898576 has 135 divisors (see below), whose sum is σ = 28822315976649. Its totient is φ = 5107033620864.

The previous prime is 12344850898553. The next prime is 12344850898613. The reversal of 12344850898576 is 67589805844321.

The square root of 12344850898576 is 3513524.

It is a perfect power (a square), and thus also a powerful number.

12344850898576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6473340364176 + 5871510534400 = 2544276^2 + 2423120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2852979325 + ... + 2852983651.

It is a 1-persistent number, because it is pandigital, but 2⋅12344850898576 = 24689701797152 is not.

Almost surely, 212344850898576 is an apocalyptic number.

12344850898576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12344850898576 is the 3513524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344850898576

12344850898576 is an abundant number, since it is smaller than the sum of its proper divisors (16477465078073).

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

12344850898576 is an frugal number, since it uses more digits than its factorization.

12344850898576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 70.

The spelling of 12344850898576 in words is "twelve trillion, three hundred forty-four billion, eight hundred fifty million, eight hundred ninety-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 841 1421 1624 1682 2842 3248 3364 4327 5684 5887 6728 8654 11368 11774 13456 17308 22736 23548 30289 34616 41209 47096 60578 69232 82418 94192 121156 125483 164836 212023 242312 250966 329672 424046 484624 501932 659344 848092 878381 1003864 1696184 1756762 2007728 3392368 3513524 3639007 6148667 7027048 7278014 12297334 14054096 14556028 18722929 24594668 25473049 29112056 37445858 49189336 50946098 58224112 74891716 98378672 101892196 131060503 149783432 178311343 203784392 262121006 299566864 356622686 407568784 524242012 542964941 713245372 917423521 1048484024 1085929882 1426490744 1834847042 2096968048 2171859764 2852981488 3669694084 3800754587 4343719528 7339388168 7601509174 8687439056 14678776336 15203018348 15745983289 26605282109 30406036696 31491966578 53210564218 60812073392 62983933156 106421128436 110221883023 125967866312 212842256872 220443766046 251935732624 425684513744 440887532092 771553181161 881775064184 1543106362322 1763550128368 3086212724644 6172425449288 12344850898576