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450640690512 = 24373509252667
BaseRepresentation
bin1101000111011000100…
…01110011110101010000
31121002011220221222202220
412203230101303311100
524340403004044022
6543004345541040
744362203445065
oct6435421636520
91532156858686
10450640690512
1116412aa15741
12734067a4780
133365905287c
1417b4da2cc6c
15bac764785c
hex68ec473d50

450640690512 has 80 divisors (see below), whose sum is σ = 1182425599680. Its totient is φ = 147864185856.

The previous prime is 450640690457. The next prime is 450640690571. The reversal of 450640690512 is 215096046054.

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, 1657203 + ... + 1909869.

It is an arithmetic number, because the mean of its divisors is an integer number (14780319996).

Almost surely, 2450640690512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450640690512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591212799840).

450640690512 is an abundant number, since it is smaller than the sum of its proper divisors (731784909168).

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

450640690512 is a wasteful number, since it uses less digits than its factorization.

450640690512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253260 (or 253254 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 450640690512 in words is "four hundred fifty billion, six hundred forty million, six hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 509 584 876 1018 1168 1527 1752 2036 3054 3504 4072 6108 8144 12216 24432 37157 74314 111471 148628 222942 252667 297256 445884 505334 594512 758001 891768 1010668 1516002 1783536 2021336 3032004 4042672 6064008 12128016 18444691 36889382 55334073 73778764 110668146 128607503 147557528 221336292 257215006 295115056 385822509 442672584 514430012 771645018 885345168 1028860024 1543290036 2057720048 3086580072 6173160144 9388347719 18776695438 28165043157 37553390876 56330086314 75106781752 112660172628 150213563504 225320345256 450640690512