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38022008308821 = 32211811121320353
BaseRepresentation
bin10001010010100101100000…
…10011001000010001010101
311222121212110010121002101100
420221102300103020101111
514440423033111340241
6212511023001420313
711002666545061215
oct1051226023102125
9158555403532340
1038022008308821
111112a052505469
124320b0579a699
13182a5c9804244
149563bc930245
1545e08de5e9b6
hex2294b04c8455

38022008308821 has 48 divisors (see below), whose sum is σ = 55297271079232. Its totient is φ = 25174756454400.

The previous prime is 38022008308793. The next prime is 38022008308853. The reversal of 38022008308821 is 12880380022083.

It is not a de Polignac number, because 38022008308821 - 217 = 38022008177749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38022008308861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868117781 + ... + 1868138133.

Almost surely, 238022008308821 is an apocalyptic number.

It is an amenable number.

38022008308821 is a deficient number, since it is larger than the sum of its proper divisors (17275262770411).

38022008308821 is a wasteful number, since it uses less digits than its factorization.

38022008308821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22594 (or 22591 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 38022008308821 in words is "thirty-eight trillion, twenty-two billion, eight million, three hundred eight thousand, eight hundred twenty-one".

Divisors: 1 3 9 211 633 811 1213 1899 2433 3639 7299 10917 20353 61059 171121 183177 255943 513363 767829 983743 1540089 2303487 2951229 4294483 8853687 12883449 16506283 24688189 38650347 49518849 74064567 148556547 207569773 222193701 622709319 1868127957 3482825713 5209207879 10448477139 15627623637 20022121279 31345431417 46882870911 60066363837 180199091511 4224667589869 12674002769607 38022008308821