Search a number
-
+
4971419712 = 26347136999
BaseRepresentation
bin1001010000101000…
…11101100001000000
3110211110121021210000
410220110131201000
540140140412322
62141150440000
7234124241010
oct45024354100
913743537700
104971419712
112121267236
12b68b03000
13612c62b8c
14352381c40
151e16ad3ac
hex12851d840

4971419712 has 140 divisors (see below), whose sum is σ = 16842232000. Its totient is φ = 1420395264.

The previous prime is 4971419693. The next prime is 4971419731. The reversal of 4971419712 is 2179141794.

4971419712 is a `hidden beast` number, since 497 + 141 + 9 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (4971419693) and next prime (4971419731).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32212 + ... + 104787.

Almost surely, 24971419712 is an apocalyptic number.

4971419712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4971419712 is an abundant number, since it is smaller than the sum of its proper divisors (11870812288).

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

4971419712 is a wasteful number, since it uses less digits than its factorization.

4971419712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137030 (or 137011 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 4971419712 is about 70508.2953417539. The cubic root of 4971419712 is about 1706.7116120433.

The spelling of 4971419712 in words is "four billion, nine hundred seventy-one million, four hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 136999 273998 410997 547996 821994 958993 1095992 1232991 1643988 1917986 2191984 2465982 2876979 3287976 3698973 3835972 4383968 4931964 5753958 6575952 7397946 7671944 8630937 8767936 9863928 11096919 11507916 13151904 14795892 15343888 17261874 19727856 22193838 23015832 25892811 26303808 29591784 30687776 34523748 39455712 44387676 46031664 51785622 59183568 61375552 69047496 77678433 78911424 88775352 92063328 103571244 118367136 138094992 155356866 177550704 184126656 207142488 236734272 276189984 310713732 355101408 414284976 552379968 621427464 710202816 828569952 1242854928 1657139904 2485709856 4971419712