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493073614332 = 22351352174897
BaseRepresentation
bin1110010110011010111…
…10100100010111111100
31202010201010222212100000
413023031132210113330
531034303321124312
61014303114434300
750423552366205
oct7131536442774
91663633885300
10493073614332
11180125223422
127b689432990
133765c17a810
1419c1738a5ac
15cc5ca0aadc
hex72cd7a45fc

493073614332 has 144 divisors (see below), whose sum is σ = 1394659480032. Its totient is φ = 151421736960.

The previous prime is 493073614249. The next prime is 493073614333. The reversal of 493073614332 is 233416370394.

It is a happy number.

493073614332 is a `hidden beast` number, since 4 + 9 + 307 + 3 + 6 + 1 + 4 + 332 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493073614333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545908 + ... + 6620804.

It is an arithmetic number, because the mean of its divisors is an integer number (9685135278).

Almost surely, 2493073614332 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 493073614332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697329740016).

493073614332 is an abundant number, since it is smaller than the sum of its proper divisors (901585865700).

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

493073614332 is a wasteful number, since it uses less digits than its factorization.

493073614332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75450 (or 75436 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 493073614332 in words is "four hundred ninety-three billion, seventy-three million, six hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 521 702 972 1042 1053 1404 1563 2084 2106 3126 3159 4212 4689 6252 6318 6773 9378 12636 13546 14067 18756 20319 27092 28134 40638 42201 56268 60957 74897 81276 84402 121914 126603 149794 168804 182871 224691 243828 253206 299588 365742 449382 506412 548613 674073 731484 898764 973661 1097226 1348146 1645839 1947322 2022219 2194452 2696292 2920983 3291678 3894644 4044438 5841966 6066657 6583356 8088876 8762949 11683932 12133314 17525898 18199971 24266628 26288847 35051796 36399942 39021337 52577694 72799884 78042674 78866541 105155388 117064011 156085348 157733082 234128022 236599623 315466164 351192033 468256044 473199246 507277381 702384066 946398492 1014554762 1053576099 1404768132 1521832143 2029109524 2107152198 3043664286 3160728297 4214304396 4565496429 6087328572 6321456594 9130992858 9482184891 12642913188 13696489287 18261985716 18964369782 27392978574 37928739564 41089467861 54785957148 82178935722 123268403583 164357871444 246536807166 493073614332