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1681162912 = 2511131721611
BaseRepresentation
bin110010000110100…
…1000001010100000
311100011101220222001
41210031020022200
511420334203122
6434453053344
756442435412
oct14415101240
94304356861
101681162912
11792a77640
123ab027254
1320a3b2570
1411d3c09b2
159c8d2527
hex643482a0

1681162912 has 96 divisors (see below), whose sum is σ = 4117345344. Its totient is φ = 663859200.

The previous prime is 1681162871. The next prime is 1681162957. The reversal of 1681162912 is 2192611861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66987 + ... + 88597.

It is an arithmetic number, because the mean of its divisors is an integer number (42889014).

Almost surely, 21681162912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681162912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058672672).

1681162912 is an abundant number, since it is smaller than the sum of its proper divisors (2436182432).

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

1681162912 is a wasteful number, since it uses less digits than its factorization.

1681162912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21662 (or 21654 counting only the distinct ones).

The product of its digits is 10368, while the sum is 37.

The square root of 1681162912 is about 41001.9866835742. The cubic root of 1681162912 is about 1189.0586232458.

The spelling of 1681162912 in words is "one billion, six hundred eighty-one million, one hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 748 884 1144 1496 1768 2288 2431 2992 3536 4576 4862 5984 7072 9724 19448 21611 38896 43222 77792 86444 172888 237721 280943 345776 367387 475442 561886 691552 734774 950884 1123772 1469548 1901768 2247544 2939096 3090373 3803536 4041257 4495088 4776031 5878192 6180746 7607072 8082514 8990176 9552062 11756384 12361492 16165028 19104124 24722984 32330056 38208248 49445968 52536341 64660112 76416496 98891936 105072682 129320224 152832992 210145364 420290728 840581456 1681162912