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16987046640 = 2435373189757
BaseRepresentation
bin11111101001000000…
…11100001011110000
31121211212010101020120
433310200130023300
5234242140443030
611445335210240
71140645341214
oct176440341360
947755111216
1016987046640
117227821623
123360b16980
1317a94094b5
14b720aa944
156964b9010
hex3f481c2f0

16987046640 has 80 divisors (see below), whose sum is σ = 52801302048. Its totient is φ = 4517710848.

The previous prime is 16987046639. The next prime is 16987046693. The reversal of 16987046640 is 4664078961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×169870466403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 5359 + ... + 184398.

Almost surely, 216987046640 is an apocalyptic number.

16987046640 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 16987046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26400651024).

16987046640 is an abundant number, since it is smaller than the sum of its proper divisors (35814255408).

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

16987046640 is a wasteful number, since it uses less digits than its factorization.

16987046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190146 (or 190140 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 16987046640 in words is "sixteen billion, nine hundred eighty-seven million, forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 14920 17904 22380 29840 44760 89520 189757 379514 569271 759028 948785 1138542 1518056 1897570 2277084 2846355 3036112 3795140 4554168 5692710 7590280 9108336 11385420 15180560 22770840 45541680 70779361 141558722 212338083 283117444 353896805 424676166 566234888 707793610 849352332 1061690415 1132469776 1415587220 1698704664 2123380830 2831174440 3397409328 4246761660 5662348880 8493523320 16987046640