Search a number
-
+
14570776912896 = 210321793001793
BaseRepresentation
bin1101010000001000010111…
…1110110110010000000000
31220120221201111101101000100
43110002011332312100000
53402211422342203041
650553420021122400
73032463302145651
oct324020576662000
956527644341010
1014570776912896
114708482787326
121773ab7859400
13819031477929
1438532d543528
151a40454586b6
hexd4085fb6400

14570776912896 has 132 divisors (see below), whose sum is σ = 44547673322412. Its totient is φ = 4571224080384.

The previous prime is 14570776912819. The next prime is 14570776912897. The reversal of 14570776912896 is 69821967707541.

14570776912896 is a `hidden beast` number, since 1 + 457 + 0 + 7 + 7 + 6 + 91 + 2 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12879944810496 + 1690832102400 = 3588864^2 + 1300320^2 .

It is a super-2 number, since 2×145707769128962 (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 not an unprimeable number, because it can be changed into a prime (14570776912897) 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 11 ways as a sum of consecutive naturals, for example, 46344225 + ... + 46657568.

Almost surely, 214570776912896 is an apocalyptic number.

14570776912896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14570776912896 is an abundant number, since it is smaller than the sum of its proper divisors (29976896409516).

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

14570776912896 is a wasteful number, since it uses less digits than its factorization.

14570776912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93001836 (or 93001815 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 14570776912896 in words is "fourteen trillion, five hundred seventy billion, seven hundred seventy-six million, nine hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 78336 156672 93001793 186003586 279005379 372007172 558010758 744014344 837016137 1116021516 1488028688 1581030481 1674032274 2232043032 2976057376 3162060962 3348064548 4464086064 4743091443 5952114752 6324121924 6696129096 8928172128 9486182886 11904229504 12648243848 13392258192 14229274329 17856344256 18972365772 23808459008 25296487696 26784516384 28458548658 35712688512 37944731544 47616918016 50592975392 53569032768 56917097316 71425377024 75889463088 95233836032 101185950784 107138065536 113834194632 142850754048 151778926176 202371901568 214276131072 227668389264 285701508096 303557852352 404743803136 428552262144 455336778528 607115704704 809487606272 857104524288 910673557056 1214231409408 1618975212544 1821347114112 2428462818816 3642694228224 4856925637632 7285388456448 14570776912896