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54077053741500 = 22353105269342469
BaseRepresentation
bin11000100101110110010111…
…00101000010100110111100
321002110201022212001121012210
430102323023211002212330
524041444301224212000
6311002353332300420
714250636542423016
oct1422731345024674
9232421285047183
1054077053741500
1116259a4a062159
1260945b3a71710
1324235a113739a
14d4d4b42a91b6
1563ba0560d350
hex312ecb9429bc

54077053741500 has 96 divisors (see below), whose sum is σ = 157474336219200. Its totient is φ = 14420368569600.

The previous prime is 54077053741489. The next prime is 54077053741517. The reversal of 54077053741500 is 514735077045.

54077053741500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540770537415002 (a number of 28 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 54077053741500.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 157732266 + ... + 158074734.

It is an arithmetic number, because the mean of its divisors is an integer number (1640357668950).

Almost surely, 254077053741500 is an apocalyptic number.

54077053741500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54077053741500 is an abundant number, since it is smaller than the sum of its proper divisors (103397282477700).

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

54077053741500 is a wasteful number, since it uses less digits than its factorization.

54077053741500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447760 (or 447748 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 54077053741500 in words is "fifty-four trillion, seventy-seven billion, fifty-three million, seven hundred forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 105269 210538 315807 342469 421076 526345 631614 684938 1027407 1052690 1263228 1369876 1579035 1712345 2054814 2105380 2631725 3158070 3424690 4109628 5137035 5263450 6316140 6849380 7895175 8561725 10274070 10526900 13158625 15790350 17123450 20548140 25685175 26317250 31580700 34246900 39475875 42808625 51370350 52634500 78951750 85617250 102740700 128425875 157903500 171234500 256851750 513703500 36051369161 72102738322 108154107483 144205476644 180256845805 216308214966 360513691610 432616429932 540770537415 721027383220 901284229025 1081541074830 1802568458050 2163082149660 2703852687075 3605136916100 4506421145125 5407705374150 9012842290250 10815410748300 13519263435375 18025684580500 27038526870750 54077053741500