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54913270000 = 245431117657
BaseRepresentation
bin110011001001000101…
…100000000011110000
312020202000000010222211
4303021011200003300
51344430244120000
641120553541504
73652542044041
oct631105400360
9166660003884
1054913270000
112131a122576
12a786414894
135241952b94
14292d0968c8
151665db87ba
hexcc91600f0

54913270000 has 100 divisors (see below), whose sum is σ = 133385565456. Its totient is φ = 21893440000.

The previous prime is 54913269997. The next prime is 54913270003. The reversal of 54913270000 is 7231945.

It is an interprime number because it is at equal distance from previous prime (54913269997) and next prime (54913270003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54913270003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3101172 + ... + 3118828.

Almost surely, 254913270000 is an apocalyptic number.

54913270000 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 54913270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66692782728).

54913270000 is an abundant number, since it is smaller than the sum of its proper divisors (78472295456).

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

54913270000 is a wasteful number, since it uses less digits than its factorization.

54913270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17996 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 54913270000 in words is "fifty-four billion, nine hundred thirteen million, two hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 311 400 500 622 625 1000 1244 1250 1555 2000 2488 2500 3110 4976 5000 6220 7775 10000 12440 15550 17657 24880 31100 35314 38875 62200 70628 77750 88285 124400 141256 155500 176570 194375 282512 311000 353140 388750 441425 622000 706280 777500 882850 1412560 1555000 1765700 2207125 3110000 3531400 4414250 5491327 7062800 8828500 10982654 11035625 17657000 21965308 22071250 27456635 35314000 43930616 44142500 54913270 87861232 88285000 109826540 137283175 176570000 219653080 274566350 439306160 549132700 686415875 1098265400 1372831750 2196530800 2745663500 3432079375 5491327000 6864158750 10982654000 13728317500 27456635000 54913270000