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16250130576 = 243435412
BaseRepresentation
bin11110010001001010…
…10101000010010000
31112221111111011110000
433020211111002100
5231240013134301
611244252410000
71113456554661
oct171045250220
945844434400
1016250130576
116989858689
123196176900
1316bc8431a4
14b02283368
15651953786
hex3c8955090

16250130576 has 75 divisors (see below), whose sum is σ = 47045878473. Its totient is φ = 5415180480.

The previous prime is 16250130539. The next prime is 16250130577. The reversal of 16250130576 is 67503105261.

The square root of 16250130576 is 127476.

It is a perfect power (a square), and thus also a powerful number.

16250130576 is a `hidden beast` number, since 1 + 6 + 2 + 50 + 1 + 30 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6802290576 + 9447840000 = 82476^2 + 97200^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 16250130576.

It is not an unprimeable number, because it can be changed into a prime (16250130577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4587366 + ... + 4590906.

Almost surely, 216250130576 is an apocalyptic number.

16250130576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16250130576 is the 127476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16250130576

16250130576 is an abundant number, since it is smaller than the sum of its proper divisors (30795747897).

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

16250130576 is an frugal number, since it uses more digits than its factorization.

16250130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 16250130576 by its sum of digits (36), we get a square (585004700736 = 7648562).

16250130576 divided by its sum of digits (36) gives a square (451392516 = 212462).

The spelling of 16250130576 in words is "sixteen billion, two hundred fifty million, one hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3541 7082 10623 14164 21246 28328 31869 42492 56656 63738 84984 95607 127476 169968 191214 254952 286821 382428 509904 573642 764856 1147284 1529712 2294568 4589136 12538681 25077362 37616043 50154724 75232086 100309448 112848129 150464172 200618896 225696258 300928344 338544387 451392516 601856688 677088774 902785032 1015633161 1354177548 1805570064 2031266322 2708355096 4062532644 5416710192 8125065288 16250130576