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14816081472 = 263314752963
BaseRepresentation
bin11011100110001101…
…10111011001000000
31102020120001220220020
431303012313121000
5220320404101342
610450104013440
71033104420543
oct156306673100
942216056806
1014816081472
116313323335
122a55a61280
13152170271a
14a07a2a85a
155baad50ec
hex3731b7640

14816081472 has 112 divisors (see below), whose sum is σ = 41327173632. Its totient is φ = 4677603840.

The previous prime is 14816081443. The next prime is 14816081479. The reversal of 14816081472 is 27418061841.

14816081472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14816081479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253263 + ... + 306225.

Almost surely, 214816081472 is an apocalyptic number.

14816081472 is a gapful number since it is divisible by the number (12) 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 14816081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20663586816).

14816081472 is an abundant number, since it is smaller than the sum of its proper divisors (26511092160).

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

14816081472 is a wasteful number, since it uses less digits than its factorization.

14816081472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53056 (or 53046 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 14816081472 in words is "fourteen billion, eight hundred sixteen million, eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 141 186 188 192 248 282 372 376 496 564 744 752 992 1128 1457 1488 1504 1984 2256 2914 2976 3008 4371 4512 5828 5952 8742 9024 11656 17484 23312 34968 46624 52963 69936 93248 105926 139872 158889 211852 279744 317778 423704 635556 847408 1271112 1641853 1694816 2489261 2542224 3283706 3389632 4925559 4978522 5084448 6567412 7467783 9851118 9957044 10168896 13134824 14935566 19702236 19914088 26269648 29871132 39404472 39828176 52539296 59742264 77167091 78808944 79656352 105078592 119484528 154334182 157617888 159312704 231501273 238969056 308668364 315235776 463002546 477938112 617336728 926005092 1234673456 1852010184 2469346912 3704020368 4938693824 7408040736 14816081472