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5553355536 = 243241979697
BaseRepresentation
bin1010010110000000…
…10111101100010000
3112100000121200122200
411023000113230100
542333124334121
62315015403200
7254421512631
oct51300275420
915300550580
105553355536
11239a7a7233
1210ab983500
136a66a54c1
143a9785888
1522780da26
hex14b017b10

5553355536 has 120 divisors (see below), whose sum is σ = 16086538104. Its totient is φ = 1787166720.

The previous prime is 5553355477. The next prime is 5553355597. The reversal of 5553355536 is 6355533555.

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 5464166400 = 9444^2 + 73920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5553355491 and 5553355500.

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 23 ways as a sum of consecutive naturals, for example, 567840 + ... + 577536.

Almost surely, 25553355536 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 5553355536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043269052).

5553355536 is an abundant number, since it is smaller than the sum of its proper divisors (10533182568).

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

5553355536 is a wasteful number, since it uses less digits than its factorization.

5553355536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9840 counting only the distinct ones).

The product of its digits is 2531250, while the sum is 45.

The square root of 5553355536 is about 74520.8396087967. The cubic root of 5553355536 is about 1770.8637974741.

The spelling of 5553355536 in words is "five billion, five hundred fifty-three million, three hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 97 123 144 164 194 246 291 328 369 388 492 582 656 738 776 873 984 1164 1476 1552 1746 1968 2328 2952 3492 3977 4656 5904 6984 7954 9697 11931 13968 15908 19394 23862 29091 31816 35793 38788 47724 58182 63632 71586 77576 87273 95448 116364 143172 155152 174546 190896 232728 286344 349092 397577 465456 572688 698184 795154 940609 1192731 1396368 1590308 1881218 2385462 2821827 3180616 3578193 3762436 4770924 5643654 6361232 7156386 7524872 8465481 9541848 11287308 14312772 15049744 16930962 19083696 22574616 28625544 33861924 38564969 45149232 57251088 67723848 77129938 115694907 135447696 154259876 231389814 308519752 347084721 462779628 617039504 694169442 925559256 1388338884 1851118512 2776677768 5553355536