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54620507007 = 3511432232131
BaseRepresentation
bin110010110111101000…
…101100101101111111
312012222121010020200000
4302313220230231333
51343330322211012
641031535005343
73642355435443
oct626750545577
9165877106600
1054620507007
1121189941390
12a704369853
1351c60ba141
142902248823
15164a338ddc
hexcb7a2cb7f

54620507007 has 96 divisors (see below), whose sum is σ = 91784749056. Its totient is φ = 32173394400.

The previous prime is 54620506991. The next prime is 54620507023. The reversal of 54620507007 is 70070502645.

It is an interprime number because it is at equal distance from previous prime (54620506991) and next prime (54620507023).

It is not a de Polignac number, because 54620507007 - 24 = 54620506991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54620507057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25630332 + ... + 25632462.

It is an arithmetic number, because the mean of its divisors is an integer number (956091136).

Almost surely, 254620507007 is an apocalyptic number.

54620507007 is a deficient number, since it is larger than the sum of its proper divisors (37164242049).

54620507007 is a wasteful number, since it uses less digits than its factorization.

54620507007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 54620507007 in words is "fifty-four billion, six hundred twenty million, five hundred seven thousand, seven".

Divisors: 1 3 9 11 27 33 43 81 99 129 223 243 297 387 473 669 891 1161 1419 2007 2131 2453 2673 3483 4257 6021 6393 7359 9589 10449 12771 18063 19179 22077 23441 28767 38313 54189 57537 66231 70323 86301 91633 105479 114939 172611 198693 210969 258903 274899 316437 475213 517833 596079 632907 776709 824697 949311 1007963 1425639 1898721 2330127 2474091 2847933 3023889 4276917 5227343 5696163 7422273 8543799 9071667 12830751 15682029 20434159 22266819 25631397 27215001 38492253 47046087 61302477 81645003 115476759 141138261 183907431 224775749 244935009 423414783 551722293 674327247 1270244349 1655166879 2022981741 4965500637 6068945223 18206835669 54620507007