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54136637615040 = 2635293192465293
BaseRepresentation
bin11000100111100101010110…
…00011011110101111000000
321002200102010100121222202220
430103302223003132233000
524043433313212140130
6311050010013411040
714255146230122031
oct1423625303365700
9232612110558686
1054136637615040
111628224565a252
1260a4062499a80
1324290a85c79a6
14d5232779aa88
1563d341564410
hex313cab0debc0

54136637615040 has 112 divisors (see below), whose sum is σ = 172470459536928. Its totient is φ = 14387165507584.

The previous prime is 54136637615033. The next prime is 54136637615069. The reversal of 54136637615040 is 4051673663145.

54136637615040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 95951367 + ... + 96513926.

It is an arithmetic number, because the mean of its divisors is an integer number (1539914817294).

Almost surely, 254136637615040 is an apocalyptic number.

It is an amenable number.

54136637615040 is an abundant number, since it is smaller than the sum of its proper divisors (118333821921888).

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

54136637615040 is a wasteful number, since it uses less digits than its factorization.

54136637615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192465606 (or 192465596 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 54136637615040 in words is "fifty-four trillion, one hundred thirty-six billion, six hundred thirty-seven million, six hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 293 320 480 586 879 960 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 9376 11720 14064 17580 18752 23440 28128 35160 46880 56256 70320 93760 140640 281280 192465293 384930586 577395879 769861172 962326465 1154791758 1539722344 1924652930 2309583516 2886979395 3079444688 3849305860 4619167032 5773958790 6158889376 7698611720 9238334064 11547917580 12317778752 15397223440 18476668128 23095835160 30794446880 36953336256 46191670320 56392330849 61588893760 92383340640 112784661698 169176992547 184766681280 225569323396 281961654245 338353985094 451138646792 563923308490 676707970188 845884962735 902277293584 1127846616980 1353415940376 1691769925470 1804554587168 2255693233960 2706831880752 3383539850940 3609109174336 4511386467920 5413663761504 6767079701880 9022772935840 10827327523008 13534159403760 18045545871680 27068318807520 54136637615040