Search a number
-
+
3019413663 = 327271731321
BaseRepresentation
bin1011001111111000…
…1001100010011111
321210102120002212200
42303332021202133
522140432214123
61215340302543
7134552410200
oct26376114237
97712502780
103019413663
11130a4201a2
12703241a53
13391720b06
1420901b5a7
1512a12b143
hexb3f8989f

3019413663 has 72 divisors (see below), whose sum is σ = 5219319456. Its totient is φ = 1676505600.

The previous prime is 3019413641. The next prime is 3019413679. The reversal of 3019413663 is 3663149103.

It is not a de Polignac number, because 3019413663 - 28 = 3019413407 is a prime.

It is a super-2 number, since 2×30194136632 = 18233717736622155138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3019413623) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2285043 + ... + 2286363.

It is an arithmetic number, because the mean of its divisors is an integer number (72490548).

Almost surely, 23019413663 is an apocalyptic number.

3019413663 is a deficient number, since it is larger than the sum of its proper divisors (2199905793).

3019413663 is a wasteful number, since it uses less digits than its factorization.

3019413663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3019413663 is about 54949.1916501053. The cubic root of 3019413663 is about 1445.3539221592.

The spelling of 3019413663 in words is "three billion, nineteen million, four hundred thirteen thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 49 63 71 73 147 213 219 441 497 511 639 657 1321 1491 1533 3479 3577 3963 4473 4599 5183 9247 10437 10731 11889 15549 27741 31311 32193 36281 46647 64729 83223 93791 96433 108843 194187 253967 281373 289299 326529 582561 656537 675031 761901 844119 867897 1969611 2025093 2285703 4595759 4725217 5908833 6075279 6846743 13787277 14175651 20540229 41361831 42526953 47927201 61620687 143781603 335490407 431344809 1006471221 3019413663