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38208007146 = 2323346179997
BaseRepresentation
bin100011100101010111…
…111110101111101010
310122121210002212102210
4203211113332233222
51111222222212041
625315202105550
72521554462561
oct434527765752
9118553085383
1038208007146
1115227473311
1274a394b2b6
1337aba36c6a
141bc65babd8
15ed9511016
hex8e55febea

38208007146 has 32 divisors (see below), whose sum is σ = 79762485888. Its totient is φ = 12178591040.

The previous prime is 38208007099. The next prime is 38208007151. The reversal of 38208007146 is 64170080283.

It is a super-4 number, since 4×382080071464 (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 437620 + ... + 517616.

It is an arithmetic number, because the mean of its divisors is an integer number (2492577684).

Almost surely, 238208007146 is an apocalyptic number.

38208007146 is an abundant number, since it is smaller than the sum of its proper divisors (41554478742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38208007146 is a wasteful number, since it uses less digits than its factorization.

38208007146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83486.

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 38208007146 in words is "thirty-eight billion, two hundred eight million, seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 23 46 69 138 3461 6922 10383 20766 79603 79997 159206 159994 238809 239991 477618 479982 1839931 3679862 5519793 11039586 276869617 553739234 830608851 1661217702 6368001191 12736002382 19104003573 38208007146