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54053244333 = 321129314114813
BaseRepresentation
bin110010010101110100…
…110000110110101101
312011112001201022120100
4302111310300312231
51341200112304313
640455352341313
73622326665424
oct622564606655
9164461638510
1054053244333
1120a18713560
12a5863a4839
13513571445a
14288ab842bb
151615636173
hexc95d30dad

54053244333 has 96 divisors (see below), whose sum is σ = 93178874880. Its totient is φ = 29860992000.

The previous prime is 54053244307. The next prime is 54053244367. The reversal of 54053244333 is 33344235045.

54053244333 is a `hidden beast` number, since 5 + 405 + 3 + 244 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 54053244333 - 221 = 54051147181 is a prime.

It is a super-2 number, since 2×540532443332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54053244233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3641635 + ... + 3656447.

It is an arithmetic number, because the mean of its divisors is an integer number (970613280).

Almost surely, 254053244333 is an apocalyptic number.

It is an amenable number.

54053244333 is a deficient number, since it is larger than the sum of its proper divisors (39125630547).

54053244333 is a wasteful number, since it uses less digits than its factorization.

54053244333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 54053244333 its reverse (33344235045), we get a palindrome (87397479378).

The spelling of 54053244333 in words is "fifty-four billion, fifty-three million, two hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 11 29 31 33 41 87 93 99 123 261 279 319 341 369 451 899 957 1023 1189 1271 1353 2697 2871 3069 3567 3813 4059 8091 9889 10701 11439 13079 13981 14813 29667 36859 39237 41943 44439 89001 110577 117711 125829 133317 162943 331731 405449 429577 459203 488829 607333 1216347 1288731 1377609 1466487 1821999 3649041 3866193 4132827 4725347 5051233 5465997 6680663 13316887 14176041 15153699 17612657 18827323 20041989 39950661 42528123 45461097 52837971 56481969 60125967 119851983 146485757 158513913 169445907 193739227 207100553 439457271 545992367 581217681 621301659 1318371813 1637977101 1743653043 1863904977 4913931303 6005916037 18017748111 54053244333