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55004253440 = 2851723109903
BaseRepresentation
bin110011001110100000…
…100100110100000000
312020222100012120210212
4303032200210310000
51400122042102230
641134004013252
73655025303633
oct631640446400
9166870176725
1055004253440
11213665157a4
12a7b0991228
13525775a636
14293b1bbc1a
15166dd8b895
hexcce824d00

55004253440 has 144 divisors (see below), whose sum is σ = 145569166848. Its totient is φ = 19806978048.

The previous prime is 55004253431. The next prime is 55004253487. The reversal of 55004253440 is 4435240055.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 55004253397 and 55004253406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 445529 + ... + 555431.

It is an arithmetic number, because the mean of its divisors is an integer number (1010896992).

Almost surely, 255004253440 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 55004253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72784583424).

55004253440 is an abundant number, since it is smaller than the sum of its proper divisors (90564913408).

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

55004253440 is a wasteful number, since it uses less digits than its factorization.

55004253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109964 (or 109950 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 55004253440 its reverse (4435240055), we get a palindrome (59439493495).

The spelling of 55004253440 in words is "fifty-five billion, four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 128 136 160 170 184 230 256 272 320 340 368 391 460 544 640 680 736 782 920 1088 1280 1360 1472 1564 1840 1955 2176 2720 2944 3128 3680 3910 4352 5440 5888 6256 7360 7820 10880 12512 14720 15640 21760 25024 29440 31280 50048 62560 100096 109903 125120 219806 250240 439612 500480 549515 879224 1099030 1758448 1868351 2198060 2527769 3516896 3736702 4396120 5055538 7033792 7473404 8792240 9341755 10111076 12638845 14067584 14946808 17584480 18683510 20222152 25277690 28135168 29893616 35168960 37367020 40444304 42972073 50555380 59787232 70337920 74734040 80888608 85944146 101110760 119574464 140675840 149468080 161777216 171888292 202221520 214860365 239148928 298936160 323554432 343776584 404443040 429720730 478297856 597872320 647108864 687553168 808886080 859441460 1195744640 1375106336 1617772160 1718882920 2391489280 2750212672 3235544320 3437765840 5500425344 6875531680 11000850688 13751063360 27502126720 55004253440