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6552002556 = 22321136745083
BaseRepresentation
bin1100001101000011…
…11001111111111100
3121220121202012211100
412012201321333330
5101404303040211
63002052053100
7321236050161
oct60641717774
917817665740
106552002556
112862486550
12132a304190
1380555a8b8
14462260068
15285324156
hex186879ffc

6552002556 has 72 divisors (see below), whose sum is σ = 18117275904. Its totient is φ = 1980001440.

The previous prime is 6552002549. The next prime is 6552002609.

6552002556 is a `hidden beast` number, since 65 + 520 + 0 + 25 + 56 = 666.

6552002556 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6552002556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122791 + ... + 167873.

It is an arithmetic number, because the mean of its divisors is an integer number (251628832).

Almost surely, 26552002556 is an apocalyptic number.

6552002556 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6552002556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058637952).

6552002556 is an abundant number, since it is smaller than the sum of its proper divisors (11565273348).

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

6552002556 is a wasteful number, since it uses less digits than its factorization.

6552002556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45471 (or 45466 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 6552002556 is about 80944.4411680012. The cubic root of 6552002556 is about 1871.2192907974.

It can be divided in two parts, 655200 and 2556, that added together give a palindrome (657756).

The spelling of 6552002556 in words is "six billion, five hundred fifty-two million, two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 367 396 734 1101 1468 2202 3303 4037 4404 6606 8074 12111 13212 16148 24222 36333 45083 48444 72666 90166 135249 145332 180332 270498 405747 495913 540996 811494 991826 1487739 1622988 1983652 2975478 4463217 5950956 8926434 16545461 17852868 33090922 49636383 66181844 99272766 148909149 182000071 198545532 297818298 364000142 546000213 595636596 728000284 1092000426 1638000639 2184000852 3276001278 6552002556