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30777262056 = 23322137200029
BaseRepresentation
bin11100101010011101…
…111011111111101000
32221102220211220110200
4130222131323333220
51001012434341211
622045555312200
72136455260662
oct345235737750
987386756420
1030777262056
1112063a64572
125b6b2ab660
132b96416588
1416bd775532
15c01eadb56
hex72a77bfe8

30777262056 has 48 divisors (see below), whose sum is σ = 83394507300. Its totient is φ = 10254235392.

The previous prime is 30777262049. The next prime is 30777262057. The reversal of 30777262056 is 65026277703.

It can be written as a sum of positive squares in 2 ways, for example, as 29882653956 + 894608100 = 172866^2 + 29910^2 .

It is not an unprimeable number, because it can be changed into a prime (30777262057) 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 11 ways as a sum of consecutive naturals, for example, 53850 + ... + 253878.

Almost surely, 230777262056 is an apocalyptic number.

30777262056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30777262056 is an abundant number, since it is smaller than the sum of its proper divisors (52617245244).

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

30777262056 is a wasteful number, since it uses less digits than its factorization.

30777262056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202178 (or 202171 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 30777262056 in words is "thirty billion, seven hundred seventy-seven million, two hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2137 4274 6411 8548 12822 17096 19233 25644 38466 51288 76932 153864 200029 400058 600087 800116 1200174 1600232 1800261 2400348 3600522 4800696 7201044 14402088 427461973 854923946 1282385919 1709847892 2564771838 3419695784 3847157757 5129543676 7694315514 10259087352 15388631028 30777262056