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16745811456 = 2931138191
BaseRepresentation
bin11111001100010000…
…01100111000000000
31121020001012100210010
433212020030320000
5233243411431311
611405400504520
71131656022513
oct174610147000
947201170703
1016745811456
117113635000
1232b417b140
13176b44539a
14b4c032d7a
15680216da6
hex3e620ce00

16745811456 has 160 divisors (see below), whose sum is σ = 49075716096. Its totient is φ = 5073868800.

The previous prime is 16745811451. The next prime is 16745811479. The reversal of 16745811456 is 65411854761.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16745811451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040321 + ... + 2048511.

Almost surely, 216745811456 is an apocalyptic number.

16745811456 is a gapful number since it is divisible by the number (16) 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 16745811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537858048).

16745811456 is an abundant number, since it is smaller than the sum of its proper divisors (32329904640).

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

16745811456 is an frugal number, since it uses more digits than its factorization.

16745811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8207 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 16745811456 in words is "sixteen billion, seven hundred forty-five million, eight hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1331 1408 1452 1536 1936 2112 2662 2816 2904 3872 3993 4224 5324 5632 5808 7744 7986 8191 8448 10648 11616 15488 15972 16382 16896 21296 23232 24573 30976 31944 32764 42592 46464 49146 61952 63888 65528 85184 90101 92928 98292 127776 131056 170368 180202 185856 196584 255552 262112 270303 340736 360404 393168 511104 524224 540606 681472 720808 786336 991111 1022208 1048448 1081212 1441616 1572672 1982222 2044416 2096896 2162424 2883232 2973333 3145344 3964444 4193792 4324848 5766464 5946666 6290688 7928888 8649696 10902221 11532928 11893332 12581376 15857776 17299392 21804442 23065856 23786664 31715552 32706663 34598784 43608884 46131712 47573328 63431104 65413326 69197568 87217768 95146656 126862208 130826652 138395136 174435536 190293312 253724416 261653304 348871072 380586624 507448832 523306608 697742144 761173248 1046613216 1395484288 1522346496 2093226432 2790968576 4186452864 5581937152 8372905728 16745811456