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493048326276 = 2232112106392
BaseRepresentation
bin1110010110010111111…
…10000110100010000100
31202010122101102002122100
413023023332012202010
531034230332420101
61014300412432100
750423124424122
oct7131376064204
91663571362570
10493048326276
11180111a21100
127b680a78630
1337656b6547c
1419c13c86912
15cc5a6b2e86
hex72cbf86884

493048326276 has 81 divisors (see below), whose sum is σ = 1370047024983. Its totient is φ = 149394540240.

The previous prime is 493048326269. The next prime is 493048326283. The reversal of 493048326276 is 672623840394.

The square root of 493048326276 is 702174.

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

493048326276 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 4 + 8 + 3 + 2 + 627 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (493048326269) and next prime (493048326283).

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 26 ways as a sum of consecutive naturals, for example, 46338165 + ... + 46348803.

Almost surely, 2493048326276 is an apocalyptic number.

493048326276 is the 702174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493048326276

493048326276 is an abundant number, since it is smaller than the sum of its proper divisors (876998698707).

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

493048326276 is a wasteful number, since it uses less digits than its factorization.

493048326276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21310 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 493048326276 in words is "four hundred ninety-three billion, forty-eight million, three hundred twenty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 10639 21278 31917 42556 63834 95751 117029 127668 191502 234058 351087 383004 468116 702174 1053261 1287319 1404348 2106522 2574638 3861957 4213044 5149276 7723914 11585871 15447828 23171742 46343484 113188321 226376642 339564963 452753284 679129926 1018694889 1245071531 1358259852 2037389778 2490143062 3735214593 4074779556 4980286124 7470429186 11205643779 13695786841 14940858372 22411287558 27391573682 41087360523 44822575116 54783147364 82174721046 123262081569 164349442092 246524163138 493048326276