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20191841604 = 223211221532
BaseRepresentation
bin10010110011100001…
…110000110101000100
31221010012111211110100
4102303201300311010
5312323102412404
613135341124100
71313241551604
oct226341606504
957105454410
1020191841604
11862184a500
123ab6259630
131b9a36668c
14d97982c04
157d2a12d39
hex4b3870d44

20191841604 has 81 divisors (see below), whose sum is σ = 56128424989. Its totient is φ = 6115897920.

The previous prime is 20191841587. The next prime is 20191841609. The reversal of 20191841604 is 40614819102.

The square root of 20191841604 is 142098.

It is a perfect power (a square), and thus also a powerful number.

20191841604 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 1 + 8 + 41 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1490732100 + 18701109504 = 38610^2 + 136752^2 .

It is a super-2 number, since 2×201918416042 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20191841609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9377392 + ... + 9379544.

Almost surely, 220191841604 is an apocalyptic number.

20191841604 is the 142098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20191841604

20191841604 is an abundant number, since it is smaller than the sum of its proper divisors (35936583385).

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

20191841604 is a wasteful number, since it uses less digits than its factorization.

20191841604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 20191841604 by its sum of digits (36), we get a square (726906297744 = 8525882).

20191841604 divided by its sum of digits (36) gives a square (560884489 = 236832).

The spelling of 20191841604 in words is "twenty billion, one hundred ninety-one million, eight hundred forty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2153 2178 4306 4356 6459 8612 12918 19377 23683 25836 38754 47366 71049 77508 94732 142098 213147 260513 284196 426294 521026 781539 852588 1042052 1563078 2344617 3126156 4635409 4689234 9270818 9378468 13906227 18541636 27812454 41718681 50989499 55624908 83437362 101978998 152968497 166874724 203957996 305936994 458905491 560884489 611873988 917810982 1121768978 1682653467 1835621964 2243537956 3365306934 5047960401 6730613868 10095920802 20191841604