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16122142728 = 2332352763487
BaseRepresentation
bin11110000001111010…
…00110000000001000
31112121120122201010100
433000331012000020
5231004232031403
611223441245400
71110343644366
oct170075060010
945546581110
1016122142728
1169235904aa
12315b333860
13169c180533
14acd288636
156455c12a3
hex3c0f46008

16122142728 has 48 divisors (see below), whose sum is σ = 43677204480. Its totient is φ = 5372439264.

The previous prime is 16122142727. The next prime is 16122142741. The reversal of 16122142728 is 82724122161.

16122142728 is a `hidden beast` number, since 1 + 6 + 1 + 221 + 427 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 1269732-1.

It is a super-2 number, since 2×161221427282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16122142692 and 16122142701.

It is not an unprimeable number, because it can be changed into a prime (16122142723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222201 + ... + 285687.

It is an arithmetic number, because the mean of its divisors is an integer number (909941760).

Almost surely, 216122142728 is an apocalyptic number.

16122142728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16122142728 is an abundant number, since it is smaller than the sum of its proper divisors (27555061752).

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

16122142728 is a wasteful number, since it uses less digits than its factorization.

16122142728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67026 (or 67019 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

Adding to 16122142728 its reverse (82724122161), we get a palindrome (98846264889).

The spelling of 16122142728 in words is "sixteen billion, one hundred twenty-two million, one hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3527 7054 10581 14108 21162 28216 31743 42324 63486 63487 84648 126972 126974 190461 253944 253948 380922 507896 571383 761844 1142766 1523688 2285532 4571064 223918649 447837298 671755947 895674596 1343511894 1791349192 2015267841 2687023788 4030535682 5374047576 8061071364 16122142728