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5959989552 = 24311210132
BaseRepresentation
bin1011000110011111…
…00011100100110000
3120101100202211122210
411203033203210300
544201224131202
62423223132120
7300460034556
oct54317434460
916340684583
105959989552
112589293400
1211a3ba4040
1373c9ca54a
14407795bd6
1524d382c6c
hex1633e3930

5959989552 has 90 divisors (see below), whose sum is σ = 16940302036. Its totient is φ = 1804274560.

The previous prime is 5959989551. The next prime is 5959989571. The reversal of 5959989552 is 2559899595.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (5959989551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5882998 + ... + 5884010.

Almost surely, 25959989552 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 5959989552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470151018).

5959989552 is an abundant number, since it is smaller than the sum of its proper divisors (10980312484).

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

5959989552 is a wasteful number, since it uses less digits than its factorization.

5959989552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 1029 counting only the distinct ones).

The product of its digits is 65610000, while the sum is 66.

The square root of 5959989552 is about 77200.9685949600. The cubic root of 5959989552 is about 1813.0724807998.

It can be divided in two parts, 595998 and 9552, that added together give a triangular number (605550 = T1100).

The spelling of 5959989552 in words is "five billion, nine hundred fifty-nine million, nine hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1013 1452 1936 2026 2904 3039 4052 5808 6078 8104 11143 12156 16208 22286 24312 33429 44572 48624 66858 89144 122573 133716 178288 245146 267432 367719 490292 534864 735438 980584 1026169 1470876 1961168 2052338 2941752 3078507 4104676 5883504 6157014 8209352 11287859 12314028 16418704 22575718 24628056 33863577 45151436 49256112 67727154 90302872 124166449 135454308 180605744 248332898 270908616 372499347 496665796 541817232 744998694 993331592 1489997388 1986663184 2979994776 5959989552