Search a number
-
+
4104526611136 = 267291492120317
BaseRepresentation
bin111011101110101000110…
…110011100001011000000
3112112101111111221201022011
4323232220312130023000
51014222032303024021
612421332110022304
7602353665354460
oct73565066341300
915471444851264
104104526611136
1113427a12a3706
125635997a7994
1323a09436b2b3
14102935635ba0
1571b7c7dcde1
hex3bba8d9c2c0

4104526611136 has 112 divisors (see below), whose sum is σ = 9694093896000. Its totient is φ = 1687025184768.

The previous prime is 4104526611131. The next prime is 4104526611139. The reversal of 4104526611136 is 6311166254014.

4104526611136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4104526611131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875650 + ... + 2995966.

Almost surely, 24104526611136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104526611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847046948000).

4104526611136 is an abundant number, since it is smaller than the sum of its proper divisors (5589567284864).

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

4104526611136 is a wasteful number, since it uses less digits than its factorization.

4104526611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120514 (or 2120504 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 4104526611136 in words is "four trillion, one hundred four billion, five hundred twenty-six million, six hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 149 203 224 232 298 406 448 464 596 812 928 1043 1192 1624 1856 2086 2384 3248 4172 4321 4768 6496 8344 8642 9536 12992 16688 17284 30247 33376 34568 60494 66752 69136 120988 138272 241976 276544 483952 967904 1935808 2120317 4240634 8481268 14842219 16962536 29684438 33925072 59368876 61489193 67850144 118737752 122978386 135700288 237475504 245956772 315927233 430424351 474951008 491913544 631854466 860848702 949902016 983827088 1263708932 1721697404 1967654176 2211490631 2527417864 3443394808 3935308352 4422981262 5054835728 6886789616 8845962524 9161889757 10109671456 13773579232 17691925048 18323779514 20219342912 27547158464 35383850096 36647559028 64133228299 70767700192 73295118056 128266456598 141535400384 146590236112 256532913196 293180472224 513065826392 586360944448 1026131652784 2052263305568 4104526611136