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307907385006420 = 22345190066287041
BaseRepresentation
bin100011000000010100100011…
…0010011101001100101010100
31111101012122210001212211210000
41012000221012103221211110
5310324223311030201140
63010510411103331300
7121566401016153633
oct10600510623514524
91441178701784700
10307907385006420
118a121874786251
122a64a6202b0b30
13102a67074b4314
145606b22b9151a
15258e59eaa4a30
hex1180a464e9954

307907385006420 has 60 divisors (see below), whose sum is σ = 965916870747444. Its totient is φ = 82108636001280.

The previous prime is 307907385006409. The next prime is 307907385006421. The reversal of 307907385006420 is 24600583709703.

307907385006420 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 0 + 73 + 8 + 500 + 64 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128975134585284 + 178932250421136 = 11356722^2 + 13376556^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307907385006421) 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 19 ways as a sum of consecutive naturals, for example, 95033141901 + ... + 95033145140.

Almost surely, 2307907385006420 is an apocalyptic number.

307907385006420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307907385006420 is an abundant number, since it is smaller than the sum of its proper divisors (658009485741024).

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

307907385006420 is a wasteful number, since it uses less digits than its factorization.

307907385006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190066287062 (or 190066287051 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 307907385006420 in words is "three hundred seven trillion, nine hundred seven billion, three hundred eighty-five million, six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 190066287041 380132574082 570198861123 760265148164 950331435205 1140397722246 1710596583369 1900662870410 2280795444492 2850994305615 3421193166738 3801325740820 5131789750107 5701988611230 6842386333476 8552982916845 10263579500214 11403977222460 15395369250321 17105965833690 20527159000428 25658948750535 30790738500642 34211931667380 51317897501070 61581477001284 76976846251605 102635795002140 153953692503210 307907385006420