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20601606501 = 3472192571063
BaseRepresentation
bin10011001011111100…
…111001000101100101
31222011202120001020000
4103023330321011211
5314143002402001
613244135531513
71326345523500
oct231374710545
958152501200
1020601606501
118812084983
123bab529b99
131c34216808
14dd616a137
158089a4a86
hex4cbf39165

20601606501 has 120 divisors (see below), whose sum is σ = 37866185280. Its totient is φ = 11098902528.

The previous prime is 20601606499. The next prime is 20601606503. The reversal of 20601606501 is 10560610602.

It is a happy number.

20601606501 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 1 + 6 + 0 + 650 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20601606499) and next prime (20601606503).

It is not a de Polignac number, because 20601606501 - 21 = 20601606499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20601606503) 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 119 ways as a sum of consecutive naturals, for example, 19380096 + ... + 19381158.

It is an arithmetic number, because the mean of its divisors is an integer number (315551544).

Almost surely, 220601606501 is an apocalyptic number.

20601606501 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20601606501 is a deficient number, since it is larger than the sum of its proper divisors (17264578779).

20601606501 is a wasteful number, since it uses less digits than its factorization.

20601606501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20601606501 in words is "twenty billion, six hundred one million, six hundred six thousand, five hundred one".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 257 399 441 513 567 771 931 1063 1197 1323 1539 1799 2313 2793 3189 3591 3969 4883 5397 6939 7441 8379 9567 10773 12593 14649 16191 20197 20817 22323 25137 28701 34181 37779 43947 48573 52087 60591 66969 75411 86103 102543 113337 131841 141379 145719 156261 181773 200907 239267 273191 307629 340011 395523 424137 468783 545319 602721 717801 819573 922887 989653 1020033 1272411 1406349 1635957 1912337 2153403 2458719 2768661 2968959 3817233 4219047 5190629 5737011 6460209 7376157 8906877 11451699 13386359 15571887 17211033 19380627 22128471 26720631 36334403 40159077 46715661 51633099 80161893 109003209 120477231 140146983 154899297 254340821 327009627 361431693 420440949 763022463 981028881 1084295079 2289067389 2943086643 6867202167 20601606501