Search a number
-
+
3199687056 = 243347592671
BaseRepresentation
bin1011111010110111…
…0101100110010000
322020222202221111000
42332231311212100
523023104441211
61245300222000
7142201614456
oct27655654620
98228687430
103199687056
1113a215a275
1275369a900
133bcb8c267
14224d469d6
1513ad8a656
hexbeb75990

3199687056 has 160 divisors (see below), whose sum is σ = 9542246400. Its totient is φ = 1025792640.

The previous prime is 3199687033. The next prime is 3199687081. The reversal of 3199687056 is 6507869913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3199686993 and 3199687011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196601 + ... + 1199271.

It is an arithmetic number, because the mean of its divisors is an integer number (59639040).

Almost surely, 23199687056 is an apocalyptic number.

3199687056 is a gapful number since it is divisible by the number (36) 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 3199687056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771123200).

3199687056 is an abundant number, since it is smaller than the sum of its proper divisors (6342559344).

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

3199687056 is a wasteful number, since it uses less digits than its factorization.

3199687056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3199687056 is about 56565.7763669871. The cubic root of 3199687056 is about 1473.5645605754.

The spelling of 3199687056 in words is "three billion, one hundred ninety-nine million, six hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 59 72 94 108 118 141 144 177 188 216 236 282 354 376 423 432 472 531 564 708 752 846 944 1062 1128 1269 1416 1593 1692 2124 2256 2538 2671 2773 2832 3186 3384 4248 5076 5342 5546 6372 6768 8013 8319 8496 10152 10684 11092 12744 16026 16638 20304 21368 22184 24039 24957 25488 32052 33276 42736 44368 48078 49914 64104 66552 72117 74871 96156 99828 125537 128208 133104 144234 149742 157589 192312 199656 251074 288468 299484 315178 376611 384624 399312 472767 502148 576936 598968 630356 753222 945534 1004296 1129833 1153872 1197936 1260712 1418301 1506444 1891068 2008592 2259666 2521424 2836602 3012888 3389499 3782136 4254903 4519332 5673204 6025776 6778998 7406683 7564272 8509806 9038664 11346408 13557996 14813366 17019612 18077328 22220049 22692816 27115992 29626732 34039224 44440098 54231984 59253464 66660147 68078448 88880196 118506928 133320294 177760392 199980441 266640588 355520784 399960882 533281176 799921764 1066562352 1599843528 3199687056