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54457153097728 = 212195927118061
BaseRepresentation
bin11000110000111010010110…
…10001000001000000000000
321010211001102122001112002011
430120131023101001000000
524114211222143111403
6311453134252502304
714320254006561313
oct1430351321010000
9233731378045064
1054457153097728
1116396170257317
1261361b247a994
132450397847564
14d63a5144a97a
1564684ed64a6d
hex31874b441000

54457153097728 has 104 divisors (see below), whose sum is σ = 114652955027520. Its totient is φ = 25790922915840.

The previous prime is 54457153097723. The next prime is 54457153097729. The reversal of 54457153097728 is 82779035175445.

It is not an unprimeable number, because it can be changed into a prime (54457153097723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461203818 + ... + 461321878.

It is an arithmetic number, because the mean of its divisors is an integer number (1102432259880).

Almost surely, 254457153097728 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 54457153097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326477513760).

54457153097728 is an abundant number, since it is smaller than the sum of its proper divisors (60195801929792).

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

54457153097728 is a wasteful number, since it uses less digits than its factorization.

54457153097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124031 (or 124009 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 67.

The spelling of 54457153097728 in words is "fifty-four trillion, four hundred fifty-seven billion, one hundred fifty-three million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 5927 9728 11854 19456 23708 38912 47416 77824 94832 112613 118061 189664 225226 236122 379328 450452 472244 758656 900904 944488 1517312 1801808 1888976 2243159 3034624 3603616 3777952 4486318 6069248 7207232 7555904 8972636 12138496 14414464 15111808 17945272 24276992 28828928 30223616 35890544 57657856 60447232 71781088 115315712 120894464 143562176 230631424 241788928 287124352 461262848 483577856 574248704 699747547 1148497408 1399495094 2296994816 2798990188 4593989632 5597980376 9187979264 11195960752 13295203393 22391921504 26590406786 44783843008 53180813572 89567686016 106361627144 179135372032 212723254288 358270744064 425446508576 716541488128 850893017152 1433082976256 1701786034304 2866165952512 3403572068608 6807144137216 13614288274432 27228576548864 54457153097728