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54354354544000 = 27537485306737
BaseRepresentation
bin11000101101111010110111…
…11111101001110110000000
321010110020002102102220211101
430112331123333221312000
524111020204230402000
6311334013515024144
714306654401360120
oct1426753377516600
9233406072386741
1054354354544000
11163566091413a5
12611a2a343b054
1324437942c5c84
14d5ca9c860c80
15643d350c8e6a
hex316f5bfe9d80

54354354544000 has 128 divisors (see below), whose sum is σ = 154444016301120. Its totient is φ = 18635778662400.

The previous prime is 54354354543977. The next prime is 54354354544001. The reversal of 54354354544000 is 44545345345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54354354544001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242541369 + ... + 242765368.

Almost surely, 254354354544000 is an apocalyptic number.

54354354544000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54354354544000 is an abundant number, since it is smaller than the sum of its proper divisors (100089661757120).

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

54354354544000 is an equidigital number, since it uses as much as digits as its factorization.

54354354544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485306773 (or 485306751 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 46.

Adding to 54354354544000 its reverse (44545345345), we get a palindrome (54398899889345).

The spelling of 54354354544000 in words is "fifty-four trillion, three hundred fifty-four billion, three hundred fifty-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 485306737 970613474 1941226948 2426533685 3397147159 3882453896 4853067370 6794294318 7764907792 9706134740 12132668425 13588588636 15529815584 16985735795 19412269480 24265336850 27177177272 31059631168 33971471590 38824538960 48530673700 54354354544 60663342125 62119262336 67942943180 77649077920 84928678975 97061347400 108708709088 121326684250 135885886360 155298155840 169857357950 194122694800 217417418176 242653368500 271771772720 310596311680 339714715900 388245389600 424643394875 434834836352 485306737000 543543545440 679429431800 776490779200 849286789750 970613474000 1087087090880 1358858863600 1552981558400 1698573579500 1941226948000 2174174181760 2717717727200 3397147159000 3882453896000 5435435454400 6794294318000 7764907792000 10870870908800 13588588636000 27177177272000 54354354544000