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38833800379 = 113831572239
BaseRepresentation
bin100100001010101011…
…001100010010111011
310201020101122110100221
4210022223030102323
51114012423103004
625501235040511
72543223566623
oct441253142273
9121211573327
1038833800379
1115518739000
127639440137
13387b593b0a
141c45759883
151024426354
hex90aacc4bb

38833800379 has 32 divisors (see below), whose sum is σ = 43523665920. Its totient is φ = 34640480160.

The previous prime is 38833800361. The next prime is 38833800403. The reversal of 38833800379 is 97300833883.

It is not a de Polignac number, because 38833800379 - 219 = 38833276091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38833800479) 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 31 ways as a sum of consecutive naturals, for example, 17343142 + ... + 17345380.

It is an arithmetic number, because the mean of its divisors is an integer number (1360114560).

Almost surely, 238833800379 is an apocalyptic number.

38833800379 is a deficient number, since it is larger than the sum of its proper divisors (4689865541).

38833800379 is a wasteful number, since it uses less digits than its factorization.

38833800379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 38833800379 in words is "thirty-eight billion, eight hundred thirty-three million, eight hundred thousand, three hundred seventy-nine".

Divisors: 1 11 83 121 157 913 1331 1727 2239 10043 13031 18997 24629 110473 143341 185837 208967 270919 351523 1576751 2044207 2980109 3866753 17344261 22486277 29176409 42534283 247349047 320940499 467877113 3530345489 38833800379