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1630521216 = 27326123203
BaseRepresentation
bin110000100101111…
…1100011110000000
311012122010001121200
41201023330132000
511314403134331
6425443421200
755256126112
oct14113743600
94178101550
101630521216
117674287a5
12396084800
131cca6106c
1411679b3b2
159822c5e6
hex612fc780

1630521216 has 96 divisors (see below), whose sum is σ = 4769118120. Its totient is φ = 534574080.

The previous prime is 1630521199. The next prime is 1630521223. The reversal of 1630521216 is 6121250361.

1630521216 is a `hidden beast` number, since 1 + 630 + 5 + 2 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16305212162 = 5317198871652237312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1630521216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58671 + ... + 81873.

Almost surely, 21630521216 is an apocalyptic number.

1630521216 is a gapful number since it is divisible by the number (16) 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 1630521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384559060).

1630521216 is an abundant number, since it is smaller than the sum of its proper divisors (3138596904).

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

1630521216 is a wasteful number, since it uses less digits than its factorization.

1630521216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23284 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1630521216 is about 40379.7129261712. The cubic root of 1630521216 is about 1176.9973491195.

Adding to 1630521216 its reverse (6121250361), we get a palindrome (7751771577).

The spelling of 1630521216 in words is "one billion, six hundred thirty million, five hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23203 23424 35136 46406 69609 70272 92812 139218 185624 208827 278436 371248 417654 556872 742496 835308 1113744 1415383 1484992 1670616 2227488 2830766 2969984 3341232 4246149 4454976 5661532 6682464 8492298 8909952 11323064 12738447 13364928 16984596 22646128 25476894 26729856 33969192 45292256 50953788 67938384 90584512 101907576 135876768 181169024 203815152 271753536 407630304 543507072 815260608 1630521216