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4799284788529 = 7211223212372
BaseRepresentation
bin100010111010110101110…
…1010100011110100110001
3121222210210102000221020001
41011311223222203310301
51112112413401213104
614112432212550001
71003510515420400
oct105655352436461
917883712027201
104799284788529
111590402167400
12656172922301
1328a75583b04a
141284026cb637
1584c915c2aa4
hex45d6baa3d31

4799284788529 has 81 divisors (see below), whose sum is σ = 6420106846251. Its totient is φ = 3574214915040.

The previous prime is 4799284788517. The next prime is 4799284788553. The reversal of 4799284788529 is 9258874829974.

The square root of 4799284788529 is 2190727.

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

It can be written as a sum of positive squares in only one way, i.e., 3624549630625 + 1174735157904 = 1903825^2 + 1083852^2 .

It is not a de Polignac number, because 4799284788529 - 25 = 4799284788497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4799284788559) 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 80 ways as a sum of consecutive naturals, for example, 3879776899 + ... + 3879778135.

Almost surely, 24799284788529 is an apocalyptic number.

4799284788529 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4799284788529 is the 2190727-th square number.

4799284788529 is the 1095364-th centered octagonal number.

It is an amenable number.

4799284788529 is a deficient number, since it is larger than the sum of its proper divisors (1620822057722).

4799284788529 is an equidigital number, since it uses as much as digits as its factorization.

4799284788529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 1278 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 82.

The spelling of 4799284788529 in words is "four trillion, seven hundred ninety-nine billion, two hundred eighty-four million, seven hundred eighty-eight thousand, five hundred twenty-nine".

Divisors: 1 7 11 23 49 77 121 161 253 529 539 847 1127 1237 1771 2783 3703 5819 5929 8659 12397 13607 19481 25921 28451 40733 60613 64009 95249 136367 149677 199157 285131 312961 448063 654373 666743 1047739 1394099 1530169 2190727 3136441 3442571 4580611 7198103 7334173 10711183 15335089 16831859 24097997 32064277 35193887 50386721 74978281 79179133 117823013 168685979 185150449 246357209 352707047 387132757 554253931 809459401 824761091 1296053143 1724500463 2709929299 3879777517 4258460327 5666215807 8904053411 9072372001 18969505093 29809222289 39663510649 62328373877 97944587521 208664556023 436298617139 685612112647 4799284788529