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5575311104 = 28119712039
BaseRepresentation
bin1010011000101000…
…00111111100000000
3112101112221011000212
411030110013330000
542404234423404
62321122133252
7255106235216
oct51424077400
915345834025
105575311104
112401132830
1210b71b1228
136ab0c1a6c
143ac65ccb6
152296e906e
hex14c507f00

5575311104 has 72 divisors (see below), whose sum is σ = 12159020160. Its totient is φ = 2530380800.

The previous prime is 5575311101. The next prime is 5575311107. The reversal of 5575311104 is 4011135755.

It is an interprime number because it is at equal distance from previous prime (5575311101) and next prime (5575311107).

It is a super-3 number, since 3×55753111043 (a number of 30 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (5575311101) 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 7 ways as a sum of consecutive naturals, for example, 2733317 + ... + 2735355.

It is an arithmetic number, because the mean of its divisors is an integer number (168875280).

Almost surely, 25575311104 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 5575311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079510080).

5575311104 is an abundant number, since it is smaller than the sum of its proper divisors (6583709056).

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

5575311104 is a wasteful number, since it uses less digits than its factorization.

5575311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 5575311104 is about 74668.0058927517. The cubic root of 5575311104 is about 1773.1944720760.

Adding to 5575311104 its reverse (4011135755), we get a palindrome (9586446859).

The spelling of 5575311104 in words is "five billion, five hundred seventy-five million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 971 1408 1942 2039 2816 3884 4078 7768 8156 10681 15536 16312 21362 22429 31072 32624 42724 44858 62144 65248 85448 89716 124288 130496 170896 179432 248576 260992 341792 358864 521984 683584 717728 1367168 1435456 1979869 2734336 2870912 3959738 5741824 7919476 15838952 21778559 31677904 43557118 63355808 87114236 126711616 174228472 253423232 348456944 506846464 696913888 1393827776 2787655552 5575311104