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16996541560 = 23529140910399
BaseRepresentation
bin11111101010001001…
…01010010001111000
31121212111222202211021
433311010222101320
5234302103312220
611450314512224
71141122135205
oct176504522170
947774882737
1016996541560
117232117269
123364135674
1317ab3821ab
14b7345ccac
156972424aa
hex3f512a478

16996541560 has 64 divisors (see below), whose sum is σ = 39592800000. Its totient is φ = 6558892032.

The previous prime is 16996541533. The next prime is 16996541609. The reversal of 16996541560 is 6514569961.

It is a happy number.

16996541560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16996541498 and 16996541507.

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, 1629241 + ... + 1639639.

It is an arithmetic number, because the mean of its divisors is an integer number (618637500).

Almost surely, 216996541560 is an apocalyptic number.

16996541560 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 16996541560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19796400000).

16996541560 is an abundant number, since it is smaller than the sum of its proper divisors (22596258440).

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

16996541560 is a wasteful number, since it uses less digits than its factorization.

16996541560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 16996541560 in words is "sixteen billion, nine hundred ninety-six million, five hundred forty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1409 2818 5636 7045 10399 11272 14090 20798 28180 40861 41596 51995 56360 81722 83192 103990 163444 204305 207980 301571 326888 408610 415960 603142 817220 1206284 1507855 1634440 2412568 3015710 6031420 12062840 14652191 29304382 58608764 73260955 117217528 146521910 293043820 424913539 586087640 849827078 1699654156 2124567695 3399308312 4249135390 8498270780 16996541560