Search a number
-
+
199581290076 = 22377938237867
BaseRepresentation
bin1011100111011111111…
…0001100111001011100
3201002011011102000110110
42321313332030321130
511232220302240301
6231404131410020
720263544655240
oct2716776147134
9632134360413
10199581290076
1177707487243
123281b453910
1315a8865971c
14993464a420
1552d18170d6
hex2e77f8ce5c

199581290076 has 96 divisors (see below), whose sum is σ = 539163197440. Its totient is φ = 56279530944.

The previous prime is 199581290071. The next prime is 199581290089. The reversal of 199581290076 is 670092185991.

It is a junction number, because it is equal to n+sod(n) for n = 199581289998 and 199581290025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199581290071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25365495 + ... + 25373361.

Almost surely, 2199581290076 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 199581290076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269581598720).

199581290076 is an abundant number, since it is smaller than the sum of its proper divisors (339581907364).

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

199581290076 is a wasteful number, since it uses less digits than its factorization.

199581290076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 57.

The spelling of 199581290076 in words is "one hundred ninety-nine billion, five hundred eighty-one million, two hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 3823 6636 7646 7867 11469 15292 15734 22938 23601 26761 31468 45876 47202 53522 55069 80283 94404 107044 110138 160566 165207 220276 302017 321132 330414 604034 621493 660828 906051 1208068 1242986 1812102 1864479 2114119 2485972 3624204 3728958 4228238 4350451 6342357 7457916 8456476 8700902 12684714 13051353 17401804 25369428 26102706 30075541 52205412 60151082 90226623 120302164 180453246 210528787 360906492 421057574 631586361 842115148 1263172722 2375967739 2526345444 4751935478 7127903217 9503870956 14255806434 16631774173 28511612868 33263548346 49895322519 66527096692 99790645038 199581290076