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14354963928 = 23325322916427
BaseRepresentation
bin11010101111001111…
…10101110111011000
31101001102101201112200
431113213311313120
5213344332321203
610332232410200
71015505115534
oct152747656730
941042351480
1014354963928
1160a7003958
122947546960
13147a0125c6
149a26b6bc4
1559039c9a3
hex3579f5dd8

14354963928 has 96 divisors (see below), whose sum is σ = 39786973200. Its totient is φ = 4673919744.

The previous prime is 14354963921. The next prime is 14354963929. The reversal of 14354963928 is 82936945341.

14354963928 is a `hidden beast` number, since 1 + 4 + 3 + 549 + 6 + 3 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14354963921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865651 + ... + 882077.

Almost surely, 214354963928 is an apocalyptic number.

14354963928 is a gapful number since it is divisible by the number (18) 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 14354963928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893486600).

14354963928 is an abundant number, since it is smaller than the sum of its proper divisors (25432009272).

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

14354963928 is a wasteful number, since it uses less digits than its factorization.

14354963928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721 (or 16714 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 14354963928 in words is "fourteen billion, three hundred fifty-four million, nine hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 229 318 424 458 477 636 687 916 954 1272 1374 1832 1908 2061 2748 3816 4122 5496 8244 12137 16427 16488 24274 32854 36411 48548 49281 65708 72822 97096 98562 109233 131416 145644 147843 197124 218466 291288 295686 394248 436932 591372 870631 873864 1182744 1741262 2611893 3482524 3761783 5223786 6965048 7523566 7835679 10447572 11285349 15047132 15671358 20895144 22570698 30094264 31342716 33856047 45141396 62685432 67712094 90282792 135424188 199374499 270848376 398748998 598123497 797497996 1196246994 1594995992 1794370491 2392493988 3588740982 4784987976 7177481964 14354963928