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7106894016 = 263234613491
BaseRepresentation
bin1101001111001101…
…01001100011000000
3200100021212121210220
412213212221203000
5104023331102031
63133113223040
7341054413425
oct64746514300
920307777726
107106894016
113017724732
121464101a80
138934c1641
144b5c23d4c
152b8dd1596
hex1a79a98c0

7106894016 has 112 divisors (see below), whose sum is σ = 19669402368. Its totient is φ = 2260403200.

The previous prime is 7106893943. The next prime is 7106894033. The reversal of 7106894016 is 6104986017.

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, 2034031 + ... + 2037521.

It is an arithmetic number, because the mean of its divisors is an integer number (175619664).

Almost surely, 27106894016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7106894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9834701184).

7106894016 is an abundant number, since it is smaller than the sum of its proper divisors (12562508352).

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

7106894016 is a wasteful number, since it uses less digits than its factorization.

7106894016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 7106894016 is about 84302.3962648749. The cubic root of 7106894016 is about 1922.6192204330.

The spelling of 7106894016 in words is "seven billion, one hundred six million, eight hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 461 552 736 922 1104 1383 1472 1844 2208 2766 3491 3688 4416 5532 6982 7376 10473 10603 11064 13964 14752 20946 21206 22128 27928 29504 31809 41892 42412 44256 55856 63618 80293 83784 84824 88512 111712 127236 160586 167568 169648 223424 240879 254472 321172 335136 339296 481758 508944 642344 670272 678592 963516 1017888 1284688 1609351 1927032 2035776 2569376 3218702 3854064 4828053 5138752 6437404 7708128 9656106 12874808 15416256 19312212 25749616 37015073 38624424 51499232 74030146 77248848 102998464 111045219 148060292 154497696 222090438 296120584 308995392 444180876 592241168 888361752 1184482336 1776723504 2368964672 3553447008 7106894016