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55140033135 = 351123711131811
BaseRepresentation
bin110011010110100110…
…100010001001101111
312021022210200220112110
4303112212202021233
51400411322030020
641155254135103
73661264356045
oct632646421157
9167283626473
1055140033135
1121426125020
12a82a351493
13527991aa55
142951244395
15167ac5c8e0
hexcd69a226f

55140033135 has 128 divisors (see below), whose sum is σ = 102801457152. Its totient is φ = 24975104000.

The previous prime is 55140033121. The next prime is 55140033197. The reversal of 55140033135 is 53133004155.

It is not a de Polignac number, because 55140033135 - 216 = 55139967599 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30446380 + ... + 30448190.

It is an arithmetic number, because the mean of its divisors is an integer number (803136384).

Almost surely, 255140033135 is an apocalyptic number.

55140033135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55140033135 is a deficient number, since it is larger than the sum of its proper divisors (47661424017).

55140033135 is a wasteful number, since it uses less digits than its factorization.

55140033135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037.

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 55140033135 in words is "fifty-five billion, one hundred forty million, thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 23 33 55 69 71 113 115 165 213 253 339 345 355 565 759 781 1065 1243 1265 1633 1695 1811 2343 2599 3729 3795 3905 4899 5433 6215 7797 8023 8165 9055 11715 12995 17963 18645 19921 24069 24495 27165 28589 38985 40115 41653 53889 59763 85767 88253 89815 99605 120345 124959 128581 142945 184529 204643 208265 264759 269445 298815 385743 428835 441265 458183 553587 613929 624795 642905 922645 1023215 1323795 1374549 1414391 1928715 2029819 2251073 2290915 2767935 2957363 3069645 4243173 4706789 6089457 6753219 6872745 7071955 8872089 10149095 11255365 14120367 14529653 14786815 21215865 23533945 30447285 32530993 33766095 43588959 44360445 51774679 70601835 72648265 97592979 155324037 159826183 162654965 217944795 258873395 334182019 479478549 487964895 776620185 799130915 1002546057 1670910095 2397392745 3676002209 5012730285 11028006627 18380011045 55140033135