Search a number
-
+
5503225644 = 22337892919
BaseRepresentation
bin1010010000000010…
…01000111100101100
3112012112021211101000
411020001020330230
542232311210034
62310025120300
7253242434430
oct51001107454
915175254330
105503225644
112374477974
121097029090
136991a2c47
143a2c569c0
1522320a599
hex148048f2c

5503225644 has 144 divisors (see below), whose sum is σ = 16509068800. Its totient is φ = 1552991616.

The previous prime is 5503225633. The next prime is 5503225657. The reversal of 5503225644 is 4465223055.

5503225644 is a `hidden beast` number, since 5 + 5 + 0 + 3 + 2 + 2 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5503225599 and 5503225608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5987817 + ... + 5988735.

Almost surely, 25503225644 is an apocalyptic number.

5503225644 is a gapful number since it is divisible by the number (54) 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 5503225644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254534400).

5503225644 is an abundant number, since it is smaller than the sum of its proper divisors (11005843156).

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

5503225644 is a wasteful number, since it uses less digits than its factorization.

5503225644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5503225644 is about 74183.7289707116. The cubic root of 5503225644 is about 1765.5191804339.

Adding to 5503225644 its reverse (4465223055), we get a palindrome (9968448699).

The spelling of 5503225644 in words is "five billion, five hundred three million, two hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 178 189 252 267 356 378 534 623 756 801 919 1068 1246 1602 1838 1869 2403 2492 2757 3204 3676 3738 4806 5514 5607 6433 7476 7921 8271 9612 11028 11214 12866 15842 16542 16821 19299 22428 23763 24813 25732 31684 33084 33642 38598 47526 49626 55447 57897 67284 71289 77196 81791 95052 99252 110894 115794 142578 163582 166341 173691 213867 221788 231588 245373 285156 327164 332682 347382 427734 490746 499023 572537 665364 694764 736119 855468 981492 998046 1145074 1472238 1497069 1717611 1996092 2208357 2290148 2944476 2994138 3435222 4416714 5152833 5988276 6870444 7279399 8833428 10305666 14558798 15458499 20611332 21838197 29117596 30916998 43676394 50955793 61833996 65514591 87352788 101911586 131029182 152867379 196543773 203823172 262058364 305734758 393087546 458602137 611469516 786175092 917204274 1375806411 1834408548 2751612822 5503225644