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54551312000 = 275310133757
BaseRepresentation
bin110010110011100000…
…101111011010000000
312012210202220202221222
4302303200233122000
51343210113441000
641021023534212
73640555333643
oct626340573200
9165722822858
1054551312000
1121153880129
12a6a515a368
1351b4970b53
1428d6d95a5a
15164421ba85
hexcb382f680

54551312000 has 128 divisors (see below), whose sum is σ = 136975110480. Its totient is φ = 21603840000.

The previous prime is 54551311963. The next prime is 54551312027. The reversal of 54551312000 is 21315545.

It can be written as a sum of positive squares in 8 ways, for example, as 14355873856 + 40195438144 = 119816^2 + 200488^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599122 + ... + 1632878.

Almost surely, 254551312000 is an apocalyptic number.

54551312000 is a gapful number since it is divisible by the number (50) 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 54551312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68487555240).

54551312000 is an abundant number, since it is smaller than the sum of its proper divisors (82423798480).

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

54551312000 is a wasteful number, since it uses less digits than its factorization.

54551312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33887 (or 33865 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 54551312000 its reverse (21315545), we get a palindrome (54572627545).

The spelling of 54551312000 in words is "fifty-four billion, five hundred fifty-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 640 800 808 1000 1010 1600 1616 2000 2020 2525 3200 3232 4000 4040 5050 6464 8000 8080 10100 12625 12928 16000 16160 20200 25250 32320 33757 40400 50500 64640 67514 80800 101000 135028 161600 168785 202000 270056 323200 337570 404000 540112 675140 808000 843925 1080224 1350280 1616000 1687850 2160448 2700560 3375700 3409457 4219625 4320896 5401120 6751400 6818914 8439250 10802240 13502800 13637828 16878500 17047285 21604480 27005600 27275656 33757000 34094570 54011200 54551312 67514000 68189140 85236425 108022400 109102624 135028000 136378280 170472850 218205248 270056000 272756560 340945700 426182125 436410496 540112000 545513120 681891400 852364250 1091026240 1363782800 1704728500 2182052480 2727565600 3409457000 5455131200 6818914000 10910262400 13637828000 27275656000 54551312000