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20695414068 = 22327157691757
BaseRepresentation
bin10011010001100010…
…101111010100110100
31222102022001222000100
4103101202233110310
5314341011222233
613301330314100
71331565055110
oct232142572464
958368058010
1020695414068
11886002699a
124016a28930
131c4a79c854
1410047c8740
15811d34813
hex4d18af534

20695414068 has 144 divisors (see below), whose sum is σ = 60334228864. Its totient is φ = 5859060480.

The previous prime is 20695414037. The next prime is 20695414097. The reversal of 20695414068 is 86041459602.

20695414068 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 541 + 40 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27338346 + ... + 27339102.

Almost surely, 220695414068 is an apocalyptic number.

20695414068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20695414068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167114432).

20695414068 is an abundant number, since it is smaller than the sum of its proper divisors (39638814796).

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

20695414068 is a wasteful number, since it uses less digits than its factorization.

20695414068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20695414068 in words is "twenty billion, six hundred ninety-five million, four hundred fourteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 691 757 942 1099 1382 1413 1514 1884 2073 2198 2271 2764 2826 3028 3297 4146 4396 4542 4837 5299 5652 6219 6594 6813 8292 9084 9674 9891 10598 12438 13188 13626 14511 15897 19348 19782 21196 24876 27252 29022 31794 39564 43533 47691 58044 63588 87066 95382 108487 118849 174132 190764 216974 237698 325461 356547 433948 475396 523087 650922 713094 759409 831943 976383 1046174 1069641 1301844 1426188 1518818 1569261 1663886 1952766 2092348 2139282 2278227 2495829 3037636 3138522 3327772 3661609 3905532 4278564 4556454 4707783 4991658 6277044 6834681 7323218 7487487 9112908 9415566 9983316 10984827 13669362 14646436 14974974 18831132 21969654 27338724 29949948 32954481 43939308 65908962 82124659 131817924 164249318 246373977 328498636 492747954 574872613 739121931 985495908 1149745226 1478243862 1724617839 2299490452 2956487724 3449235678 5173853517 6898471356 10347707034 20695414068