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54932774364 = 223213443264961
BaseRepresentation
bin110011001010001111…
…111001110111011100
312020210100201001221200
4303022033321313130
51400000242234424
641122531555500
73653166610056
oct631217716734
9166710631850
1054932774364
112132a134486
12a790a5bb90
1352459c1820
1429318d28d6
15166796c8c9
hexcca3f9ddc

54932774364 has 72 divisors (see below), whose sum is σ = 149877345072. Its totient is φ = 16864174080.

The previous prime is 54932774357. The next prime is 54932774381. The reversal of 54932774364 is 46347723945.

It is a happy number.

54932774364 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 277 + 4 + 364 = 666.

It is a super-2 number, since 2×549327743642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54932774364.

It is a congruent 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, 74844 + ... + 339804.

Almost surely, 254932774364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54932774364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74938672536).

54932774364 is an abundant number, since it is smaller than the sum of its proper divisors (94944570708).

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

54932774364 is a wasteful number, since it uses less digits than its factorization.

54932774364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265427 (or 265422 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 54932774364 in words is "fifty-four billion, nine hundred thirty-two million, seven hundred seventy-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 443 468 886 1329 1772 2658 3987 5316 5759 7974 11518 15948 17277 23036 34554 51831 69108 103662 207324 264961 529922 794883 1059844 1589766 2384649 3179532 3444493 4769298 6888986 9538596 10333479 13777972 20666958 31000437 41333916 62000874 117377723 124001748 234755446 352133169 469510892 704266338 1056399507 1408532676 1525910399 2112799014 3051820798 4225598028 4577731197 6103641596 9155462394 13733193591 18310924788 27466387182 54932774364