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77764011580840 = 23513212379299557
BaseRepresentation
bin10001101011100111011000…
…010010010101110110101000
3101012100011111200011101001011
4101223213120102111312220
540143041143431041330
6433220143240433304
722244156462133364
oct2153473022256650
9335304450141034
1077764011580840
1122861594263192
12887b22a178834
133451165374100
14152bb265422a4
158ecc48cb182a
hex46b9d8495da8

77764011580840 has 96 divisors (see below), whose sum is σ = 189616685681880. Its totient is φ = 28689651035136.

The previous prime is 77764011580781. The next prime is 77764011580873. The reversal of 77764011580840 is 4808511046777.

It can be written as a sum of positive squares in 12 ways, for example, as 3387565405156 + 74376446175684 = 1840534^2 + 8624178^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3712342 + ... + 13011898.

Almost surely, 277764011580840 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 77764011580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94808342840940).

77764011580840 is an abundant number, since it is smaller than the sum of its proper divisors (111852674101040).

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

77764011580840 is a wasteful number, since it uses less digits than its factorization.

77764011580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300831 (or 9300814 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 58.

The spelling of 77764011580840 in words is "seventy-seven trillion, seven hundred sixty-four billion, eleven million, five hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1237 1352 1690 2474 3380 4948 6185 6760 9896 12370 16081 24740 32162 49480 64324 80405 128648 160810 209053 321620 418106 643240 836212 1045265 1672424 2090530 4181060 8362120 9299557 18599114 37198228 46497785 74396456 92995570 120894241 185991140 241788482 371982280 483576964 604471205 967153928 1208942410 1571625133 2417884820 3143250266 4835769640 6286500532 7858125665 11503552009 12573001064 15716251330 23007104018 31432502660 46014208036 57517760045 62865005320 92028416072 115035520090 149546176117 230071040180 299092352234 460142080360 598184704468 747730880585 1196369408936 1495461761170 1944100289521 2990923522340 3888200579042 5981847044680 7776401158084 9720501447605 15552802316168 19441002895210 38882005790420 77764011580840