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54026516452146 = 23717694910888961
BaseRepresentation
bin11000100100011000001110…
…10100100101001100110010
321002021212212211020022011020
430102030013110211030302
524040132301202432041
6310523234455000310
714244200304515010
oct1422140724451462
9232255784208136
1054026516452146
111623a576083717
12608684b069096
13241b8a8c87784
14d4ac7c4778b0
1563a5489d6866
hex312307525332

54026516452146 has 64 divisors (see below), whose sum is σ = 130772078035200. Its totient is φ = 14526046863360.

The previous prime is 54026516452109. The next prime is 54026516452159. The reversal of 54026516452146 is 64125461562045.

It is a super-2 number, since 2×540265164521462 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 482895 + ... + 10406066.

It is an arithmetic number, because the mean of its divisors is an integer number (2043313719300).

Almost surely, 254026516452146 is an apocalyptic number.

54026516452146 is an abundant number, since it is smaller than the sum of its proper divisors (76745561583054).

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

54026516452146 is a wasteful number, since it uses less digits than its factorization.

54026516452146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895939.

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 54026516452146 in words is "fifty-four trillion, twenty-six billion, five hundred sixteen million, four hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 6949 13898 20847 41694 48643 97286 118133 145929 236266 291858 354399 708798 826931 1653862 2480793 4961586 10888961 21777922 32666883 65333766 76222727 152445454 185112337 228668181 370224674 457336362 555337011 1110674022 1295786359 2591572718 3887359077 7774718154 75667389989 151334779978 227002169967 454004339934 529671729923 1059343459846 1286345629813 1589015189769 2572691259626 3178030379538 3859036889439 7718073778878 9004419408691 18008838817382 27013258226073 54026516452146