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16457995445472 = 253278163688217
BaseRepresentation
bin1110111101111110110011…
…1110001110010011100000
32011021100222000000001121100
43233133230332032103200
54124121433313223342
655000410531554400
73316023320043060
oct357375476162340
964240860001540
1016457995445472
115275884408399
121a1980545ba00
13924ca01a3399
1440c7dd6513a0
151d819c064e4c
hexef7ecf8e4e0

16457995445472 has 72 divisors (see below), whose sum is σ = 53488485204336. Its totient is φ = 4702284412416.

The previous prime is 16457995445459. The next prime is 16457995445491. The reversal of 16457995445472 is 27454459975461.

It is a happy number.

16457995445472 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 7 + 9 + 9 + 544 + 5 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×164579954454722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 16457995445472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4081842093 + ... + 4081846124.

It is an arithmetic number, because the mean of its divisors is an integer number (742895627838).

Almost surely, 216457995445472 is an apocalyptic number.

16457995445472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16457995445472 is an abundant number, since it is smaller than the sum of its proper divisors (37030489758864).

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

16457995445472 is a wasteful number, since it uses less digits than its factorization.

16457995445472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163688240 (or 8163688229 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 16457995445472 in words is "sixteen trillion, four hundred fifty-seven billion, nine hundred ninety-five million, four hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 8163688217 16327376434 24491064651 32654752868 48982129302 57145817519 65309505736 73473193953 97964258604 114291635038 130619011472 146946387906 171437452557 195928517208 228583270076 261238022944 293892775812 342874905114 391857034416 457166540152 514312357671 587785551624 685749810228 783714068832 914333080304 1028624715342 1175571103248 1371499620456 1828666160608 2057249430684 2351142206496 2742999240912 4114498861368 5485998481824 8228997722736 16457995445472