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3838707436225 = 521731918146273
BaseRepresentation
bin110111110111000100110…
…010110000101011000001
3111120222101010021111202211
4313313010302300223001
51000343133100424400
612055251114342121
7544223514560314
oct67670462605301
914528333244684
103838707436225
11124aa94300192
1251bb7342a941
1321acb0b2879c
14d3b19cc297b
1569cc0ceadba
hex37dc4cb0ac1

3838707436225 has 24 divisors (see below), whose sum is σ = 4787864719992. Its totient is φ = 3052989542400.

The previous prime is 3838707436217. The next prime is 3838707436259. The reversal of 3838707436225 is 5226347078383.

It is a happy number.

3838707436225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 203690645041 + 3635016791184 = 451321^2 + 1906572^2 .

It is not a de Polignac number, because 3838707436225 - 23 = 3838707436217 is a prime.

It is a super-2 number, since 2×38387074362252 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3838707436225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82934689 + ... + 82980961.

It is an arithmetic number, because the mean of its divisors is an integer number (199494363333).

Almost surely, 23838707436225 is an apocalyptic number.

It is an amenable number.

3838707436225 is a deficient number, since it is larger than the sum of its proper divisors (949157283767).

3838707436225 is a wasteful number, since it uses less digits than its factorization.

3838707436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65637 (or 65632 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 3838707436225 in words is "three trillion, eight hundred thirty-eight billion, seven hundred seven million, four hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 173 865 4325 19181 46273 95905 231365 479525 1156825 3318313 8005229 16591565 40026145 82957825 200130725 887562413 4437812065 22189060325 153548297449 767741487245 3838707436225