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16420060272 = 24371123419461
BaseRepresentation
bin11110100101011011…
…00011110001110000
31120101100020111011110
433102231203301300
5232112013412042
611313202513320
71120622131560
oct172255436160
946340214143
1016420060272
116a66772350
123223065840
131718acc4c5
14b1aa78da0
1566181d09c
hex3d2b63c70

16420060272 has 320 divisors, whose sum is σ = 55436451840. Its totient is φ = 4060953600.

The previous prime is 16420060127. The next prime is 16420060273. The reversal of 16420060272 is 27206002461.

It is a super-2 number, since 2×164200602722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16420060273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35618122 + ... + 35618582.

It is an arithmetic number, because the mean of its divisors is an integer number (173238912).

Almost surely, 216420060272 is an apocalyptic number.

16420060272 is a gapful number since it is divisible by the number (12) 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 16420060272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718225920).

16420060272 is an abundant number, since it is smaller than the sum of its proper divisors (39016391568).

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

16420060272 is a wasteful number, since it uses less digits than its factorization.

16420060272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 16420060272 in words is "sixteen billion, four hundred twenty million, sixty thousand, two hundred seventy-two".