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427433518656 = 2632272412
BaseRepresentation
bin1100011100001010000…
…01011110011001000000
31111212021120120111211100
412032011001132121000
524000340440044111
6524205451414400
742611125650654
oct6160501363100
91455246514740
10427433518656
11155301094a71
126aa0a754400
13313cb097c11
141698b812a64
15b1ba063756
hex638505e640

427433518656 has 63 divisors (see below), whose sum is σ = 1225205982273. Its totient is φ = 142472609280.

The previous prime is 427433518637. The next prime is 427433518691. The reversal of 427433518656 is 656815334724.

The square root of 427433518656 is 653784.

It is a perfect power (a square), and thus also a powerful number.

427433518656 is a `hidden beast` number, since 4 + 2 + 74 + 3 + 3 + 518 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426429896256 + 1003622400 = 653016^2 + 31680^2 .

It is a super-3 number, since 3×4274335186563 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15677196 + ... + 15704436.

Almost surely, 2427433518656 is an apocalyptic number.

427433518656 is the 653784-th square number.

It is an amenable number.

427433518656 is an abundant number, since it is smaller than the sum of its proper divisors (797772463617).

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

427433518656 is an frugal number, since it uses more digits than its factorization.

427433518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54500 (or 27246 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 427433518656 in words is "four hundred twenty-seven billion, four hundred thirty-three million, five hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 27241 54482 81723 108964 163446 217928 245169 326892 435856 490338 653784 871712 980676 1307568 1743424 1961352 2615136 3922704 5230272 7845408 15690816 742072081 1484144162 2226216243 2968288324 4452432486 5936576648 6678648729 8904864972 11873153296 13357297458 17809729944 23746306592 26714594916 35619459888 47492613184 53429189832 71238919776 106858379664 142477839552 213716759328 427433518656