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14830892129920 = 275112901205253
BaseRepresentation
bin1101011111010001011000…
…0011101001111010000000
31221111211010101001111022011
43113310112003221322000
53420442131341124140
651313115013022304
73060332222051236
oct327642603517200
957454111044264
1014830892129920
1147a8822a6a869
1217b63ab924994
13837716064b29
14393b6750a956
151aabbb2ddcea
hexd7d160e9e80

14830892129920 has 64 divisors (see below), whose sum is σ = 35455588275240. Its totient is φ = 5932275404800.

The previous prime is 14830892129917. The next prime is 14830892129939. The reversal of 14830892129920 is 2992129803841.

It can be written as a sum of positive squares in 4 ways, for example, as 13370255519296 + 1460636610624 = 3656536^2 + 1208568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×148308921299202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72154014 + ... + 72359266.

Almost surely, 214830892129920 is an apocalyptic number.

14830892129920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14830892129920 is an abundant number, since it is smaller than the sum of its proper divisors (20624696145320).

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

14830892129920 is a wasteful number, since it uses less digits than its factorization.

14830892129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318173 (or 318161 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 14830892129920 in words is "fourteen trillion, eight hundred thirty billion, eight hundred ninety-two million, one hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 112901 205253 225802 410506 451604 564505 821012 903208 1026265 1129010 1642024 1806416 2052530 2258020 3284048 3612832 4105060 4516040 6568096 7225664 8210120 9032080 13136192 14451328 16420240 18064160 26272384 32840480 36128320 65680960 72256640 131361920 23173268953 46346537906 92693075812 115866344765 185386151624 231732689530 370772303248 463465379060 741544606496 926930758120 1483089212992 1853861516240 2966178425984 3707723032480 7415446064960 14830892129920