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423082600704 = 283445172
BaseRepresentation
bin1100010100000011011…
…00000010100100000000
31111110001100112222110000
412022001230002210000
523412433121210304
6522210024240000
742365244524661
oct6120154024400
91443040488400
10423082600704
11153479109a05
1269bb5610000
1330b8685b55a
1416697a33368
15b0130c2939
hex6281b02900

423082600704 has 135 divisors (see below), whose sum is σ = 1261835114617. Its totient is φ = 140996312064.

The previous prime is 423082600693. The next prime is 423082600751. The reversal of 423082600704 is 407006280324.

The square root of 423082600704 is 650448.

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

423082600704 is a `hidden beast` number, since 42 + 3 + 0 + 8 + 2 + 600 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1684281600 + 421398319104 = 41040^2 + 649152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 93662254 + ... + 93666770.

Almost surely, 2423082600704 is an apocalyptic number.

423082600704 is the 650448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423082600704

423082600704 is an abundant number, since it is smaller than the sum of its proper divisors (838752513913).

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

423082600704 is an frugal number, since it uses more digits than its factorization.

423082600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 423082600704 by its sum of digits (36), we get a square (15230973625344 = 39026882).

423082600704 divided by its sum of digits (36) gives a square (11752294464 = 1084082).

The spelling of 423082600704 in words is "four hundred twenty-three billion, eighty-two million, six hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 4517 5184 6912 9034 10368 13551 18068 20736 27102 36136 40653 54204 72272 81306 108408 121959 144544 162612 216816 243918 289088 325224 365877 433632 487836 578176 650448 731754 867264 975672 1156352 1300896 1463508 1734528 1951344 2601792 2927016 3469056 3902688 5203584 5854032 7805376 10407168 11708064 15610752 20403289 23416128 31221504 40806578 46832256 61209867 81613156 93664512 122419734 163226312 183629601 244839468 326452624 367259202 489678936 550888803 652905248 734518404 979357872 1101777606 1305810496 1469036808 1652666409 1958715744 2203555212 2611620992 2938073616 3305332818 3917431488 4407110424 5223241984 5876147232 6610665636 7834862976 8814220848 11752294464 13221331272 15669725952 17628441696 23504588928 26442662544 35256883392 47009177856 52885325088 70513766784 105770650176 141027533568 211541300352 423082600704