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38105888761 = 4161191241331
BaseRepresentation
bin100011011111010010…
…011011011111111001
310122100122221201100101
4203133102123133321
51111020101420021
625301113235401
72516204465413
oct433722333771
9118318851311
1038105888761
1115184865256
127475702b61
133793831195
141bb6bd79b3
15ed058da91
hex8df49b7f9

38105888761 has 32 divisors (see below), whose sum is σ = 40169428992. Its totient is φ = 36115200000.

The previous prime is 38105888753. The next prime is 38105888797. The reversal of 38105888761 is 16788850183.

It is a cyclic number.

It is not a de Polignac number, because 38105888761 - 23 = 38105888753 is a prime.

It is a super-2 number, since 2×381058887612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38105886761) 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, 115123366 + ... + 115123696.

It is an arithmetic number, because the mean of its divisors is an integer number (1255294656).

Almost surely, 238105888761 is an apocalyptic number.

It is an amenable number.

38105888761 is a deficient number, since it is larger than the sum of its proper divisors (2063540231).

38105888761 is a wasteful number, since it uses less digits than its factorization.

38105888761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 38105888761 in words is "thirty-eight billion, one hundred five million, eight hundred eighty-eight thousand, seven hundred sixty-one".

Divisors: 1 41 61 191 241 331 2501 7831 9881 11651 13571 14701 20191 46031 63221 79771 477691 602741 827831 1887271 2592061 2807891 3270611 3856481 4866031 15236261 115123531 158115721 199507271 624686701 929411921 38105888761