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1641422844 = 22321931199389
BaseRepresentation
bin110000111010110…
…0001111111111100
311020101121220211200
41201311201333330
511330201012334
6430513215500
755450602225
oct14165417774
94211556750
101641422844
117725a4306
12399861590
132020aa129
14117dd824c
1599182799
hex61d61ffc

1641422844 has 144 divisors (see below), whose sum is σ = 4542720000. Its totient is φ = 497819520.

The previous prime is 1641422791. The next prime is 1641422851. The reversal of 1641422844 is 4482241461.

1641422844 is a `hidden beast` number, since 1 + 641 + 4 + 2 + 2 + 8 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1641422799 and 1641422808.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4219402 + ... + 4219790.

Almost surely, 21641422844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641422844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271360000).

1641422844 is an abundant number, since it is smaller than the sum of its proper divisors (2901297156).

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

1641422844 is a wasteful number, since it uses less digits than its factorization.

1641422844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1641422844 is about 40514.4769681160. The cubic root of 1641422844 is about 1179.6146505764.

The spelling of 1641422844 in words is "one billion, six hundred forty-one million, four hundred twenty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 199 228 279 342 372 389 398 558 589 597 684 778 796 1116 1167 1178 1194 1556 1767 1791 2334 2356 2388 3501 3534 3582 3781 4668 5301 6169 7002 7068 7164 7391 7562 10602 11343 12059 12338 14004 14782 15124 18507 21204 22173 22686 24118 24676 29564 34029 36177 37014 44346 45372 48236 55521 66519 68058 72354 74028 77411 88692 108531 111042 117211 133038 136116 144708 154822 217062 222084 229121 232233 234422 266076 309644 351633 434124 458242 464466 468844 687363 696699 703266 916484 928932 1054899 1374726 1393398 1406532 1470809 2062089 2109798 2399741 2749452 2786796 2941618 4124178 4219596 4412427 4799482 5883236 7199223 8248356 8824854 9598964 13237281 14398446 17649708 21597669 26474562 28796892 43195338 45595079 52949124 86390676 91190158 136785237 182380316 273570474 410355711 547140948 820711422 1641422844