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4272199583481 = 33414582384221
BaseRepresentation
bin111110001010110010111…
…100000100011011111001
3120010102021221020020121000
4332022302330010123321
51024443431043132411
613030342115435213
7620441042202444
oct76126274043371
916112257206530
104272199583481
1113a791431a525
1258bb92bb5b09
1324cb3617912b
1410aac020665b
15761e2bc8956
hex3e2b2f046f9

4272199583481 has 32 divisors (see below), whose sum is σ = 6483773399040. Its totient is φ = 2778572764800.

The previous prime is 4272199583413. The next prime is 4272199583549. The reversal of 4272199583481 is 1843859912724.

4272199583481 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 1 + 9 + 9 + 583 + 48 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4272199583413) and next prime (4272199583549).

It is not a de Polignac number, because 4272199583481 - 213 = 4272199575289 is a prime.

It is a super-2 number, since 2×42721995834812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4272199583081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50683951 + ... + 50768171.

It is an arithmetic number, because the mean of its divisors is an integer number (202617918720).

Almost surely, 24272199583481 is an apocalyptic number.

4272199583481 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4272199583481 is a deficient number, since it is larger than the sum of its proper divisors (2211573815559).

4272199583481 is a wasteful number, since it uses less digits than its factorization.

4272199583481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130094 (or 130088 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 4272199583481 in words is "four trillion, two hundred seventy-two billion, one hundred ninety-nine million, five hundred eighty-three thousand, four hundred eighty-one".

Divisors: 1 3 9 27 41 123 369 1107 45823 84221 137469 252663 412407 757989 1237221 1878743 2273967 3453061 5636229 10359183 16908687 31077549 50726061 93232647 3859258883 11577776649 34733329947 104199989841 158229614203 474688842609 1424066527827 4272199583481