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20127060137700 = 22325222363400153
BaseRepresentation
bin1001001001110001100100…
…10001010001011011100100
32122021010110102112021100200
410210320302101101123210
510114230204343401300
6110450124353510500
74145063212253055
oct444706221213344
978233412467320
1020127060137700
11645a9248110aa
122310913872430
13b2cc8709b879
144d82250d672c
1524d83ea84200
hex124e324516e4

20127060137700 has 54 divisors (see below), whose sum is σ = 63087151834434. Its totient is φ = 5367216036480.

The previous prime is 20127060137693. The next prime is 20127060137707. The reversal of 20127060137700 is 773106072102.

20127060137700 is a `hidden beast` number, since 2 + 0 + 12 + 7 + 0 + 601 + 37 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20127060137693) and next prime (20127060137707).

It can be written as a sum of positive squares in 3 ways, for example, as 1227468999744 + 18899591137956 = 1107912^2 + 4347366^2 .

It is a super-2 number, since 2×201270601377002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20127060137707) 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 17 ways as a sum of consecutive naturals, for example, 11181699177 + ... + 11181700976.

Almost surely, 220127060137700 is an apocalyptic number.

20127060137700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20127060137700 is an abundant number, since it is smaller than the sum of its proper divisors (42960091696734).

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

20127060137700 is a wasteful number, since it uses less digits than its factorization.

20127060137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22363400173 (or 22363400163 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 20127060137700 in words is "twenty trillion, one hundred twenty-seven billion, sixty million, one hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22363400153 44726800306 67090200459 89453600612 111817000765 134180400918 201270601377 223634001530 268360801836 335451002295 402541202754 447268003060 559085003825 670902004590 805082405508 1006353006885 1118170007650 1341804009180 1677255011475 2012706013770 2236340015300 3354510022950 4025412027540 5031765034425 6709020045900 10063530068850 20127060137700