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14746111857920 = 285671511138717
BaseRepresentation
bin1101011010010101100011…
…0000100101010100000000
31221012201021220000102220002
43112211120300211110000
53413100014113423140
651210134213335132
73051241253453462
oct326453060452400
957181256012802
1014746111857920
114775877793673
1217a1a8b0374a8
1382c724775101
1438da0394a132
151a88a831d415
hexd6958c25500

14746111857920 has 144 divisors (see below), whose sum is σ = 36086173834368. Its totient is φ = 5771923660800.

The previous prime is 14746111857817. The next prime is 14746111857959. The reversal of 14746111857920 is 2975811164741.

It is a congruent number.

It is an unprimeable number.

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, 12380402 + ... + 13519118.

Almost surely, 214746111857920 is an apocalyptic number.

14746111857920 is a gapful number since it is divisible by the number (10) 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 14746111857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043086917184).

14746111857920 is an abundant number, since it is smaller than the sum of its proper divisors (21340061976448).

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

14746111857920 is a wasteful number, since it uses less digits than its factorization.

14746111857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138956 (or 1138942 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 14746111857920 in words is "fourteen trillion, seven hundred forty-six billion, one hundred eleven million, eight hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 151 160 256 268 302 320 335 536 604 640 670 755 1072 1208 1280 1340 1510 2144 2416 2680 3020 4288 4832 5360 6040 8576 9664 10117 10720 12080 17152 19328 20234 21440 24160 38656 40468 42880 48320 50585 80936 85760 96640 101170 161872 193280 202340 323744 404680 647488 809360 1138717 1294976 1618720 2277434 2589952 3237440 4554868 5693585 6474880 9109736 11387170 12949760 18219472 22774340 36438944 45548680 72877888 76294039 91097360 145755776 152588078 171946267 182194720 291511552 305176156 343892534 364389440 381470195 610352312 687785068 728778880 762940390 859731335 1220704624 1375570136 1457557760 1525880780 1719462670 2441409248 2751140272 3051761560 3438925340 4882818496 5502280544 6103523120 6877850680 9765636992 11004561088 11520399889 12207046240 13755701360 19531273984 22009122176 23040799778 24414092480 27511402720 44018244352 46081599556 48828184960 55022805440 57601999445 92163199112 97656369920 110045610880 115203998890 184326398224 220091221760 230407997780 368652796448 460815995560 737305592896 921631991120 1474611185792 1843263982240 2949222371584 3686527964480 7373055928960 14746111857920