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16986612104 = 23711219131941
BaseRepresentation
bin11111101000111101…
…10010000110001000
31121211211022022011122
433310132302012020
5234242033041404
611445322014412
71140641551310
oct176436620610
947754268148
1016986612104
117227555100
123360947408
1317a92b6787
14b71dd6440
156964303be
hex3f47b2188

16986612104 has 96 divisors (see below), whose sum is σ = 42115886400. Its totient is φ = 6269788800.

The previous prime is 16986612101. The next prime is 16986612127. The reversal of 16986612104 is 40121668961.

16986612104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (16986612101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62774 + ... + 194714.

It is an arithmetic number, because the mean of its divisors is an integer number (438707150).

Almost surely, 216986612104 is an apocalyptic number.

16986612104 is a gapful number since it is divisible by the number (14) 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 16986612104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21057943200).

16986612104 is an abundant number, since it is smaller than the sum of its proper divisors (25129274296).

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

16986612104 is a wasteful number, since it uses less digits than its factorization.

16986612104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131995 (or 131980 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 16986612104 in words is "sixteen billion, nine hundred eighty-six million, six hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 121 133 152 154 209 242 266 308 418 484 532 616 836 847 968 1064 1463 1672 1694 2299 2926 3388 4598 5852 6776 9196 11704 16093 18392 32186 64372 128744 131941 263882 527764 923587 1055528 1451351 1847174 2506879 2902702 3694348 5013758 5805404 7388696 10027516 10159457 11610808 15964861 17548153 20055032 20318914 27575669 31929722 35096306 40637828 55151338 63859444 70192612 81275656 110302676 111754027 127718888 140385224 193029683 220605352 223508054 303332359 386059366 447016108 606664718 772118732 894032216 1213329436 1544237464 2123326513 2426658872 4246653026 8493306052 16986612104