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57074063692752 = 24321398873214681
BaseRepresentation
bin11001111101000100101110…
…10010101101001111010000
321111002020010122000122212200
430332202113102231033100
524440100140301132002
6321215243552523200
715010315334611611
oct1476422722551720
9244066118018780
1057074063692752
1117204a7a044a67
126499404550500
1325b00a4358372
141014584029c08
1568e9625c6b1c
hex33e8974ad3d0

57074063692752 has 120 divisors (see below), whose sum is σ = 161058654294720. Its totient is φ = 18866519723520.

The previous prime is 57074063692739. The next prime is 57074063692753. The reversal of 57074063692752 is 25729636047075.

It is a happy number.

57074063692752 is a `hidden beast` number, since 5 + 70 + 7 + 406 + 3 + 6 + 92 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57074063692752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57074063692753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16146852 + ... + 19361532.

It is an arithmetic number, because the mean of its divisors is an integer number (1342155452456).

Almost surely, 257074063692752 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 57074063692752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80529327147360).

57074063692752 is an abundant number, since it is smaller than the sum of its proper divisors (103984590601968).

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

57074063692752 is a wasteful number, since it uses less digits than its factorization.

57074063692752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215721 (or 3215712 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 57074063692752 in words is "fifty-seven trillion, seventy-four billion, sixty-three million, six hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 887 1112 1251 1668 1774 2224 2502 2661 3336 3548 5004 5322 6672 7096 7983 10008 10644 14192 15966 20016 21288 31932 42576 63864 123293 127728 246586 369879 493172 739758 986344 1109637 1479516 1972688 2219274 2959032 3214681 4438548 5918064 6429362 8877096 9644043 12858724 17754192 19288086 25717448 28932129 38576172 51434896 57864258 77152344 115728516 154304688 231457032 446840659 462914064 893681318 1340521977 1787362636 2681043954 2851422047 3574725272 4021565931 5362087908 5702844094 7149450544 8043131862 8554266141 10724175816 11405688188 16086263724 17108532282 21448351632 22811376376 25662798423 32172527448 34217064564 45622752752 51325596846 64345054896 68434129128 102651193692 136868258256 205302387384 396347664533 410604774768 792695329066 1189042993599 1585390658132 2378085987198 3170781316264 3567128980797 4756171974396 6341562632528 7134257961594 9512343948792 14268515923188 19024687897584 28537031846376 57074063692752