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548006438106 = 232227148390437
BaseRepresentation
bin1111111100101111011…
…10101010010011011010
31221101111111210110001200
413332113232222103122
532434304122004411
61055430051455030
754410052603321
oct7762756522332
91841444713050
10548006438106
111a1454390a36
128a25a2b7476
133c8a4b8897a
141c748c930b8
15e3c5487e56
hex7f97baa4da

548006438106 has 48 divisors (see below), whose sum is σ = 1193395248864. Its totient is φ = 181739462112.

The previous prime is 548006438087. The next prime is 548006438129. The reversal of 548006438106 is 601834600845.

548006438106 is a `hidden beast` number, since 5 + 480 + 0 + 64 + 3 + 8 + 106 = 666.

It is a super-2 number, since 2×5480064381062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6014320 + ... + 6104756.

It is an arithmetic number, because the mean of its divisors is an integer number (24862401018).

Almost surely, 2548006438106 is an apocalyptic number.

548006438106 is an abundant number, since it is smaller than the sum of its proper divisors (645388810758).

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

548006438106 is a wasteful number, since it uses less digits than its factorization.

548006438106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92155 (or 92152 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 548006438106 in words is "five hundred forty-eight billion, six million, four hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 227 454 681 1362 1483 2043 2966 4086 4449 8898 13347 26694 90437 180874 271311 336641 542622 673282 813933 1009923 1627866 2019846 3029769 6059538 20529199 41058398 61587597 123175194 134118071 184762791 268236142 369525582 402354213 804708426 1207062639 2414125278 30444802117 60889604234 91334406351 182668812702 274003219053 548006438106