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76802120604 = 223211434510343
BaseRepresentation
bin100011110000111000…
…0110101101110011100
321100020110201222011100
41013201300311232130
52224242320324404
655140555553100
75356141153026
oct1074160655634
9240213658140
1076802120604
112a631881a50
1212a74a5b790
13731c7595a1
143a08183016
151ee788dd39
hex11e1c35b9c

76802120604 has 72 divisors (see below), whose sum is σ = 216713008512. Its totient is φ = 22732123680.

The previous prime is 76802120597. The next prime is 76802120609. The reversal of 76802120604 is 40602120867.

76802120604 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 21 + 20 + 604 = 666.

It is a super-2 number, since 2×768021206042 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76802120609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2238144 + ... + 2272199.

It is an arithmetic number, because the mean of its divisors is an integer number (3009902896).

Almost surely, 276802120604 is an apocalyptic number.

It is an amenable number.

76802120604 is an abundant number, since it is smaller than the sum of its proper divisors (139910887908).

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

76802120604 is a wasteful number, since it uses less digits than its factorization.

76802120604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510407 (or 4510402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 76802120604 in words is "seventy-six billion, eight hundred two million, one hundred twenty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 4510343 9020686 13531029 18041372 27062058 40593087 49613773 54124116 81186174 99227546 148841319 162372348 193944749 198455092 297682638 387889498 446523957 581834247 595365276 775778996 893047914 1163668494 1745502741 1786095828 2133392239 2327336988 3491005482 4266784478 6400176717 6982010964 8533568956 12800353434 19200530151 25600706868 38401060302 76802120604