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38351120769 = 3213932335159
BaseRepresentation
bin100011101101111001…
…111010100110000001
310122222202101210102100
4203231321322212001
51112020341331034
625341313341013
72525243101503
oct435571724601
9118882353370
1038351120769
11152a0231735
127523867769
133802594590
141bdb5d1d73
15ee6d80099
hex8ede7a981

38351120769 has 24 divisors (see below), whose sum is σ = 59665394880. Its totient is φ = 23597487072.

The previous prime is 38351120719. The next prime is 38351120791. The reversal of 38351120769 is 96702115383.

38351120769 is a `hidden beast` number, since 38 + 351 + 1 + 207 + 69 = 666.

It is not a de Polignac number, because 38351120769 - 217 = 38350989697 is a prime.

It is a super-2 number, since 2×383511207692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38351120719) 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 23 ways as a sum of consecutive naturals, for example, 1073212 + ... + 1108370.

It is an arithmetic number, because the mean of its divisors is an integer number (2486058120).

Almost surely, 238351120769 is an apocalyptic number.

38351120769 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

38351120769 is a deficient number, since it is larger than the sum of its proper divisors (21314274111).

38351120769 is a wasteful number, since it uses less digits than its factorization.

38351120769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44501 (or 44498 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 38351120769 in words is "thirty-eight billion, three hundred fifty-one million, one hundred twenty thousand, seven hundred sixty-nine".

Divisors: 1 3 9 13 39 117 9323 27969 35159 83907 105477 121199 316431 363597 457067 1090791 1371201 4113603 327787357 983362071 2950086213 4261235641 12783706923 38351120769