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16897400960 = 275113476917
BaseRepresentation
bin11111011110010100…
…11110000010000000
31121121121102220111012
433233022132002000
5234101213312320
611432413540052
71135506352436
oct175712360200
947547386435
1016897400960
117191162490
123336aa4628
13179397c90b
14b64212d56
1568d6ac4c5
hex3ef29e080

16897400960 has 128 divisors (see below), whose sum is σ = 44201039040. Its totient is φ = 6125916160.

The previous prime is 16897400951. The next prime is 16897401023. The reversal of 16897400960 is 6900479861.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 16897400899 and 16897400908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439422 + ... + 2446338.

Almost surely, 216897400960 is an apocalyptic number.

16897400960 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 16897400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100519520).

16897400960 is an abundant number, since it is smaller than the sum of its proper divisors (27303638080).

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

16897400960 is a wasteful number, since it uses less digits than its factorization.

16897400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The spelling of 16897400960 in words is "sixteen billion, eight hundred ninety-seven million, four hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 347 352 440 640 694 704 880 1388 1408 1735 1760 2776 3470 3520 3817 5552 6917 6940 7040 7634 11104 13834 13880 15268 19085 22208 27668 27760 30536 34585 38170 44416 55336 55520 61072 69170 76087 76340 110672 111040 122144 138340 152174 152680 221344 222080 244288 276680 304348 305360 380435 442688 488576 553360 608696 610720 760870 885376 1106720 1217392 1221440 1521740 2213440 2400199 2434784 2442880 3043480 4426880 4800398 4869568 6086960 9600796 9739136 12000995 12173920 19201592 24001990 24347840 26402189 38403184 48003980 48695680 52804378 76806368 96007960 105608756 132010945 153612736 192015920 211217512 264021890 307225472 384031840 422435024 528043780 768063680 844870048 1056087560 1536127360 1689740096 2112175120 3379480192 4224350240 8448700480 16897400960