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8540197152 = 253616592213
BaseRepresentation
bin1111111010000100…
…10001000100100000
3211001011212222002020
413331002101010200
5114442242302102
63531234021440
7421430322654
oct77502210440
924034788066
108540197152
11369279a583
1217a4117880
13a614306c6
145b0324a64
1534eb53bbc
hex1fd091120

8540197152 has 96 divisors (see below), whose sum is σ = 22830413760. Its totient is φ = 2794552320.

The previous prime is 8540197139. The next prime is 8540197199. The reversal of 8540197152 is 2517910458.

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

It is a super-2 number, since 2×85401971522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3857998 + ... + 3860210.

It is an arithmetic number, because the mean of its divisors is an integer number (237816810).

Almost surely, 28540197152 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 8540197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415206880).

8540197152 is an abundant number, since it is smaller than the sum of its proper divisors (14290216608).

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

8540197152 is a wasteful number, since it uses less digits than its factorization.

8540197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 8540197152 is about 92413.1871109313. The cubic root of 8540197152 is about 2044.0395696502.

The spelling of 8540197152 in words is "eight billion, five hundred forty million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 659 732 976 1318 1464 1952 1977 2213 2636 2928 3954 4426 5272 5856 6639 7908 8852 10544 13278 15816 17704 21088 26556 31632 35408 40199 53112 63264 70816 80398 106224 120597 134993 160796 212448 241194 269986 321592 404979 482388 539972 643184 809958 964776 1079944 1286368 1458367 1619916 1929552 2159888 2916734 3239832 3859104 4319776 4375101 5833468 6479664 8750202 11666936 12959328 17500404 23333872 35000808 46667744 70001616 88960387 140003232 177920774 266881161 355841548 533762322 711683096 1067524644 1423366192 2135049288 2846732384 4270098576 8540197152