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16463316132 = 22327159910753
BaseRepresentation
bin11110101010100101…
…00100010010100100
31120111100122010001100
433111102210102210
5232204102104012
611321350000100
71121655610134
oct172522442244
946440563040
1016463316132
116a8912709a
123235646030
131724a65ca3
14b226d8ac4
156655148dc
hex3d54a44a4

16463316132 has 72 divisors (see below), whose sum is σ = 42276124800. Its totient is φ = 5400944640.

The previous prime is 16463316049. The next prime is 16463316143. The reversal of 16463316132 is 23161336461.

16463316132 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 3 + 31 + 613 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525668 + ... + 1536420.

It is an arithmetic number, because the mean of its divisors is an integer number (587168400).

Almost surely, 216463316132 is an apocalyptic number.

16463316132 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 16463316132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138062400).

16463316132 is an abundant number, since it is smaller than the sum of its proper divisors (25812808668).

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

16463316132 is a wasteful number, since it uses less digits than its factorization.

16463316132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11428 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 16463316132 in words is "sixteen billion, four hundred sixty-three million, three hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 599 639 852 1198 1278 1797 2396 2556 3594 5391 7188 10753 10782 21506 21564 32259 42529 43012 64518 85058 96777 127587 129036 170116 193554 255174 382761 387108 510348 763463 765522 1526926 1531044 2290389 3053852 4580778 6441047 6871167 9161556 12882094 13742334 19323141 25764188 27484668 38646282 57969423 77292564 115938846 231877692 457314337 914628674 1371943011 1829257348 2743886022 4115829033 5487772044 8231658066 16463316132