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6540081152 = 211111717077
BaseRepresentation
bin1100001011101000…
…11011100000000000
3121212210022112201212
412011310123200000
5101343230044102
63000544345252
7321032525663
oct60564334000
917783275655
106540081152
112856783850
121326315228
13802c45607
144608396da
1528426bc52
hex185d1b800

6540081152 has 96 divisors (see below), whose sum is σ = 15105832560. Its totient is φ = 2797731840.

The previous prime is 6540081139. The next prime is 6540081199. The reversal of 6540081152 is 2511800456.

It is a super-2 number, since 2×65400811522 = 85545322949491294208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374438 + ... + 391514.

Almost surely, 26540081152 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 6540081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552916280).

6540081152 is an abundant number, since it is smaller than the sum of its proper divisors (8565751408).

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

6540081152 is a wasteful number, since it uses less digits than its factorization.

6540081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17127 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 6540081152 is about 80870.7682169522. The cubic root of 6540081152 is about 1870.0837039181.

The spelling of 6540081152 in words is "six billion, five hundred forty million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1024 1088 1408 1496 2048 2176 2816 2992 4352 5632 5984 8704 11264 11968 17077 17408 22528 23936 34154 34816 47872 68308 95744 136616 187847 191488 273232 290309 375694 382976 546464 580618 751388 1092928 1161236 1502776 2185856 2322472 3005552 3193399 4371712 4644944 6011104 6386798 8743424 9289888 12022208 12773596 17486848 18579776 24044416 25547192 34973696 37159552 48088832 51094384 74319104 96177664 102188768 148638208 192355328 204377536 297276416 384710656 408755072 594552832 817510144 1635020288 3270040576 6540081152