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38845091601 = 32311273073571
BaseRepresentation
bin100100001011010110…
…010000111100010001
310201021011220010000100
4210023112100330101
51114023320412401
625502321043013
72543421554631
oct441326207421
9121234803010
1038845091601
1115524050298
127641186469
133880a18304
141c470586c1
151025406b86
hex90b590f11

38845091601 has 48 divisors (see below), whose sum is σ = 58582171648. Its totient is φ = 24776085600.

The previous prime is 38845091599. The next prime is 38845091603. The reversal of 38845091601 is 10619054883.

38845091601 is a `hidden beast` number, since 3 + 8 + 84 + 509 + 1 + 60 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (38845091599) and next prime (38845091603).

It is not a de Polignac number, because 38845091601 - 21 = 38845091599 is a prime.

It is a super-2 number, since 2×388450916012 (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 (38845091603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10876146 + ... + 10879716.

Almost surely, 238845091601 is an apocalyptic number.

38845091601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38845091601 is a deficient number, since it is larger than the sum of its proper divisors (19737080047).

38845091601 is a wasteful number, since it uses less digits than its factorization.

38845091601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 38845091601 in words is "thirty-eight billion, eight hundred forty-five million, ninety-one thousand, six hundred one".

Divisors: 1 3 9 31 93 127 279 307 381 921 1143 2763 3571 3937 9517 10713 11811 28551 32139 35433 38989 85653 110701 116967 332103 350901 453517 996309 1096297 1208659 1360551 3288891 3625977 4081653 9866673 10877931 14059027 33985207 42177081 101955621 126531243 139229719 305866863 417689157 1253067471 4316121289 12948363867 38845091601