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145233532656 = 2434519721563
BaseRepresentation
bin1000011101000010010…
…1111101011011110000
3111212212120111212220000
42013100211331123300
54334414241021111
6150415214350000
713331010442002
oct2072045753360
9455776455800
10145233532656
11566585a7743
12241924bb300
1310906c18a94
14705a720372
153ba0407c56
hex21d097d6f0

145233532656 has 100 divisors (see below), whose sum is σ = 420448359672. Its totient is φ = 48399617664.

The previous prime is 145233532627. The next prime is 145233532663. The reversal of 145233532656 is 656235332541.

145233532656 is a `hidden beast` number, since 1 + 4 + 52 + 3 + 3 + 532 + 65 + 6 = 666.

145233532656 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 19 ways as a sum of consecutive naturals, for example, 6724531 + ... + 6746093.

Almost surely, 2145233532656 is an apocalyptic number.

145233532656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145233532656 is an abundant number, since it is smaller than the sum of its proper divisors (275214827016).

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

145233532656 is a wasteful number, since it uses less digits than its factorization.

145233532656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26765 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 145233532656 in words is "one hundred forty-five billion, two hundred thirty-three million, five hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 5197 10394 15591 20788 21563 31182 41576 43126 46773 62364 64689 83152 86252 93546 124728 129378 140319 172504 187092 194067 249456 258756 280638 345008 374184 388134 420957 517512 561276 582201 748368 776268 841914 1035024 1122552 1164402 1552536 1683828 1746603 2245104 2328804 3105072 3367656 3493206 4657608 6735312 6986412 9315216 13972824 27945648 112062911 224125822 336188733 448251644 672377466 896503288 1008566199 1344754932 1793006576 2017132398 2689509864 3025698597 4034264796 5379019728 6051397194 8068529592 9077095791 12102794388 16137059184 18154191582 24205588776 36308383164 48411177552 72616766328 145233532656