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20077341741 = 3229160947809
BaseRepresentation
bin10010101100101100…
…111110110000101101
31220211020001122011200
4102230230332300231
5312104244413431
613120131040113
71310351406012
oct225454766055
956736048150
1020077341741
118573155016
123a83a40039
131b7c717092
14d86699709
157c7946ee6
hex4acb3ec2d

20077341741 has 24 divisors (see below), whose sum is σ = 30019899000. Its totient is φ = 12915044352.

The previous prime is 20077341721. The next prime is 20077341761. The reversal of 20077341741 is 14714377002.

20077341741 is a `hidden beast` number, since 200 + 77 + 341 + 7 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (20077341721) and next prime (20077341761).

It can be written as a sum of positive squares in 4 ways, for example, as 3798133641 + 16279208100 = 61629^2 + 127590^2 .

It is not a de Polignac number, because 20077341741 - 214 = 20077325357 is a prime.

It is a super-2 number, since 2×200773417412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20077341696 and 20077341705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20077341721) 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, 396045 + ... + 443853.

It is an arithmetic number, because the mean of its divisors is an integer number (1250829125).

Almost surely, 220077341741 is an apocalyptic number.

It is an amenable number.

20077341741 is a deficient number, since it is larger than the sum of its proper divisors (9942557259).

20077341741 is a wasteful number, since it uses less digits than its factorization.

20077341741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49453 (or 49450 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 20077341741 in words is "twenty billion, seventy-seven million, three hundred forty-one thousand, seven hundred forty-one".

Divisors: 1 3 9 29 87 261 1609 4827 14481 46661 47809 139983 143427 419949 430281 1386461 4159383 12478149 76924681 230774043 692322129 2230815749 6692447247 20077341741