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14746820201472 = 210319924122599
BaseRepresentation
bin1101011010011000001011…
…1110101100110000000000
31221012210010020220000120110
43112212002332230300000
53413102441432421342
651210332355511320
73051264644335152
oct326460276546000
957183106800513
1014746820201472
114776100611667
1217a20482b8540
1382c8084460c8
1438da6da56ad2
151a88ea5dcc9c
hexd6982facc00

14746820201472 has 88 divisors (see below), whose sum is σ = 39503169760000. Its totient is φ = 4890904989696.

The previous prime is 14746820201471. The next prime is 14746820201527. The reversal of 14746820201472 is 27410202864741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14746820201471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11449972 + ... + 12672627.

Almost surely, 214746820201472 is an apocalyptic number.

14746820201472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14746820201472 is an abundant number, since it is smaller than the sum of its proper divisors (24756349558528).

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

14746820201472 is a wasteful number, since it uses less digits than its factorization.

14746820201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122821 (or 24122803 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 14746820201472 in words is "fourteen trillion, seven hundred forty-six billion, eight hundred twenty million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1024 1194 1536 1592 2388 3072 3184 4776 6368 9552 12736 19104 25472 38208 50944 76416 101888 152832 203776 305664 611328 24122599 48245198 72367797 96490396 144735594 192980792 289471188 385961584 578942376 771923168 1157884752 1543846336 2315769504 3087692672 4631539008 4800397201 6175385344 9263078016 9600794402 12350770688 14401191603 18526156032 19201588804 24701541376 28802383206 37052312064 38403177608 57604766412 74104624128 76806355216 115209532824 153612710432 230419065648 307225420864 460838131296 614450841728 921676262592 1228901683456 1843352525184 2457803366912 3686705050368 4915606733824 7373410100736 14746820201472