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145011464664 = 233114711686933
BaseRepresentation
bin1000011100001101011…
…0110101100111011000
3111212022002122122212120
42013003112311213120
54333440413332124
6150341202541240
713322343053313
oct2070326654730
9455262578776
10145011464664
1156554211780
1224130067820
131089cc05cc1
14703903597a
153b8ab8ed79
hex21c35b59d8

145011464664 has 64 divisors (see below), whose sum is σ = 403900439040. Its totient is φ = 43007909760.

The previous prime is 145011464651. The next prime is 145011464687. The reversal of 145011464664 is 466464110541.

145011464664 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5831059 + ... + 5855874.

It is an arithmetic number, because the mean of its divisors is an integer number (6310944360).

Almost surely, 2145011464664 is an apocalyptic number.

It is an amenable number.

145011464664 is an abundant number, since it is smaller than the sum of its proper divisors (258888974376).

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

145011464664 is a wasteful number, since it uses less digits than its factorization.

145011464664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687000 (or 11686996 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 145011464664 in words is "one hundred forty-five billion, eleven million, four hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 11686933 23373866 35060799 46747732 70121598 93495464 128556263 140243196 257112526 280486392 385668789 514225052 549285851 771337578 1028450104 1098571702 1542675156 1647857553 2197143404 3085350312 3295715106 4394286808 6042144361 6591430212 12084288722 13182860424 18126433083 24168577444 36252866166 48337154888 72505732332 145011464664