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55804782624 = 25317257133051
BaseRepresentation
bin110011111110001110…
…010110100000100000
312100001010112200101220
4303332032112200200
51403242011020444
641345242055040
74013615553153
oct637616264040
9170033480356
1055804782624
1121737388168
12a994aaa480
135354567346
1429b5643c9a
1516b92ba619
hexcfe396820

55804782624 has 96 divisors (see below), whose sum is σ = 155709158976. Its totient is φ = 17439129600.

The previous prime is 55804782571. The next prime is 55804782661. The reversal of 55804782624 is 42628740855.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×558047826242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352899 + ... + 485949.

It is an arithmetic number, because the mean of its divisors is an integer number (1621970406).

Almost surely, 255804782624 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 55804782624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77854579488).

55804782624 is an abundant number, since it is smaller than the sum of its proper divisors (99904376352).

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

55804782624 is a wasteful number, since it uses less digits than its factorization.

55804782624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133338 (or 133330 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 55804782624 in words is "fifty-five billion, eight hundred four million, seven hundred eighty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 257 272 408 514 544 771 816 1028 1542 1632 2056 3084 4112 4369 6168 8224 8738 12336 13107 17476 24672 26214 34952 52428 69904 104856 133051 139808 209712 266102 399153 419424 532204 798306 1064408 1596612 2128816 2261867 3193224 4257632 4523734 6386448 6785601 9047468 12772896 13571202 18094936 27142404 34194107 36189872 54284808 68388214 72379744 102582321 108569616 136776428 205164642 217139232 273552856 410329284 547105712 581299819 820658568 1094211424 1162599638 1641317136 1743899457 2325199276 3282634272 3487798914 4650398552 6975597828 9300797104 13951195656 18601594208 27902391312 55804782624