Search a number
-
+
4120860073506 = 23111311871254741
BaseRepresentation
bin111011111101110110011…
…001101001111000100010
3112120221122211020120110220
4323331312121221320202
51020004010134323011
612433032540503510
7603502516453341
oct73756631517042
915527584216426
104120860073506
111349713098740
1256679784ab96
1323b79823a227
141036449abb58
15722d6702506
hex3bf76669e22

4120860073506 has 64 divisors (see below), whose sum is σ = 9064478472192. Its totient is φ = 1238545880000.

The previous prime is 4120860073501. The next prime is 4120860073523. The reversal of 4120860073506 is 6053700680214.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4120860073501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16049296 + ... + 16304036.

It is an arithmetic number, because the mean of its divisors is an integer number (141632476128).

Almost surely, 24120860073506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120860073506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532239236096).

4120860073506 is an abundant number, since it is smaller than the sum of its proper divisors (4943618398686).

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

4120860073506 is a wasteful number, since it uses less digits than its factorization.

4120860073506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256759.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 4120860073506 in words is "four trillion, one hundred twenty billion, eight hundred sixty million, seventy-three thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 1871 2882 3742 4323 5613 8646 11226 20581 41162 61743 123486 245101 254741 490202 509482 735303 764223 1470606 1528446 2696111 2802151 5392222 5604302 8088333 8406453 16176666 16812906 33371071 66742142 100113213 200226426 367081781 476620411 734163562 953240822 1101245343 1429861233 2202490686 2859722466 5242824521 10485649042 15728473563 31456947126 62437273841 124874547682 187311821523 374623643046 686810012251 1373620024502 2060430036753 4120860073506